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Finding the Fourth Proportional to 10,937.97, 16,393.10 and 6,987.71

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Solution

The fourth proportional to 10,937.97, 16,393.10 and 6,987.71 is: 10,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.97 : 16,393.10 = 6,987.71 : x
  2. Step 2: Convert to fraction form
    10,937.97/16,393.10 = 6,987.71/x
  3. Step 3: Cross multiply
    10,937.97x = 16,393.10 × 6,987.71
  4. Step 4: Simplify right side
    10,937.97x = 114,550,111.90
  5. Step 5: Solve for x
    x = 114,550,111.90/10,937.97
  6. Step 6: Final answer
    x = 10,472.70

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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.