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Finding the Fourth Proportional to 11,681.78, 16,121.22 and 6,646.73

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Solution

The fourth proportional to 11,681.78, 16,121.22 and 6,646.73 is: 9,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.78 : 16,121.22 = 6,646.73 : x
  2. Step 2: Convert to fraction form
    11,681.78/16,121.22 = 6,646.73/x
  3. Step 3: Cross multiply
    11,681.78x = 16,121.22 × 6,646.73
  4. Step 4: Simplify right side
    11,681.78x = 107,153,396.61
  5. Step 5: Solve for x
    x = 107,153,396.61/11,681.78
  6. Step 6: Final answer
    x = 9,172.69

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Half scale
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Double scale
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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.