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Finding the Fourth Proportional to 19,711.70, 29,561.41 and 6,561

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Solution

The fourth proportional to 19,711.70, 29,561.41 and 6,561 is: 9,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.70 : 29,561.41 = 6,561 : x
  2. Step 2: Convert to fraction form
    19,711.70/29,561.41 = 6,561/x
  3. Step 3: Cross multiply
    19,711.70x = 29,561.41 × 6,561
  4. Step 4: Simplify right side
    19,711.70x = 193,952,382.31
  5. Step 5: Solve for x
    x = 193,952,382.31/19,711.70
  6. Step 6: Final answer
    x = 9,839.45

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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.