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Finding the Fourth Proportional to 10,772.76, 16,149.42 and 7,487.40

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Solution

The fourth proportional to 10,772.76, 16,149.42 and 7,487.40 is: 11,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.76 : 16,149.42 = 7,487.40 : x
  2. Step 2: Convert to fraction form
    10,772.76/16,149.42 = 7,487.40/x
  3. Step 3: Cross multiply
    10,772.76x = 16,149.42 × 7,487.40
  4. Step 4: Simplify right side
    10,772.76x = 120,917,167.31
  5. Step 5: Solve for x
    x = 120,917,167.31/10,772.76
  6. Step 6: Final answer
    x = 11,224.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.