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Finding the Fourth Proportional to 11,965.43, 16,510.42 and 6,930.13

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Solution

The fourth proportional to 11,965.43, 16,510.42 and 6,930.13 is: 9,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.43 : 16,510.42 = 6,930.13 : x
  2. Step 2: Convert to fraction form
    11,965.43/16,510.42 = 6,930.13/x
  3. Step 3: Cross multiply
    11,965.43x = 16,510.42 × 6,930.13
  4. Step 4: Simplify right side
    11,965.43x = 114,419,356.95
  5. Step 5: Solve for x
    x = 114,419,356.95/11,965.43
  6. Step 6: Final answer
    x = 9,562.49

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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.