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Finding the Fourth Proportional to 10,543.97, 15,783.14 and 6,640.17

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Solution

The fourth proportional to 10,543.97, 15,783.14 and 6,640.17 is: 9,939.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.97 : 15,783.14 = 6,640.17 : x
  2. Step 2: Convert to fraction form
    10,543.97/15,783.14 = 6,640.17/x
  3. Step 3: Cross multiply
    10,543.97x = 15,783.14 × 6,640.17
  4. Step 4: Simplify right side
    10,543.97x = 104,802,732.73
  5. Step 5: Solve for x
    x = 104,802,732.73/10,543.97
  6. Step 6: Final answer
    x = 9,939.59

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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.