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Finding the Fourth Proportional to 12,805.70, 17,670.66 and 7,139.90

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Solution

The fourth proportional to 12,805.70, 17,670.66 and 7,139.90 is: 9,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.70 : 17,670.66 = 7,139.90 : x
  2. Step 2: Convert to fraction form
    12,805.70/17,670.66 = 7,139.90/x
  3. Step 3: Cross multiply
    12,805.70x = 17,670.66 × 7,139.90
  4. Step 4: Simplify right side
    12,805.70x = 126,166,745.33
  5. Step 5: Solve for x
    x = 126,166,745.33/12,805.70
  6. Step 6: Final answer
    x = 9,852.39

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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.