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Finding the Fourth Proportional to 12,005.73, 16,570.07 and 7,160.77

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Solution

The fourth proportional to 12,005.73, 16,570.07 and 7,160.77 is: 9,883.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.73 : 16,570.07 = 7,160.77 : x
  2. Step 2: Convert to fraction form
    12,005.73/16,570.07 = 7,160.77/x
  3. Step 3: Cross multiply
    12,005.73x = 16,570.07 × 7,160.77
  4. Step 4: Simplify right side
    12,005.73x = 118,654,398.85
  5. Step 5: Solve for x
    x = 118,654,398.85/12,005.73
  6. Step 6: Final answer
    x = 9,883.15

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.