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Finding the Fourth Proportional to 12,057.60, 16,623.92 and 7,801.28

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Solution

The fourth proportional to 12,057.60, 16,623.92 and 7,801.28 is: 10,755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.60 : 16,623.92 = 7,801.28 : x
  2. Step 2: Convert to fraction form
    12,057.60/16,623.92 = 7,801.28/x
  3. Step 3: Cross multiply
    12,057.60x = 16,623.92 × 7,801.28
  4. Step 4: Simplify right side
    12,057.60x = 129,687,854.62
  5. Step 5: Solve for x
    x = 129,687,854.62/12,057.60
  6. Step 6: Final answer
    x = 10,755.69

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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.