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Finding the Fourth Proportional to 19,815.30, 29,773.98 and 14,931

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Solution

The fourth proportional to 19,815.30, 29,773.98 and 14,931 is: 22,434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,815.30 : 29,773.98 = 14,931 : x
  2. Step 2: Convert to fraction form
    19,815.30/29,773.98 = 14,931/x
  3. Step 3: Cross multiply
    19,815.30x = 29,773.98 × 14,931
  4. Step 4: Simplify right side
    19,815.30x = 444,555,295.38
  5. Step 5: Solve for x
    x = 444,555,295.38/19,815.30
  6. Step 6: Final answer
    x = 22,434.95

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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.