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Finding the Fourth Proportional to 19,869.66, 29,812.65 and 9,474.78

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Solution

The fourth proportional to 19,869.66, 29,812.65 and 9,474.78 is: 14,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,869.66 : 29,812.65 = 9,474.78 : x
  2. Step 2: Convert to fraction form
    19,869.66/29,812.65 = 9,474.78/x
  3. Step 3: Cross multiply
    19,869.66x = 29,812.65 × 9,474.78
  4. Step 4: Simplify right side
    19,869.66x = 282,468,299.97
  5. Step 5: Solve for x
    x = 282,468,299.97/19,869.66
  6. Step 6: Final answer
    x = 14,216.06

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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.