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Finding the Fourth Proportional to 14,475.43, 19,972.86 and 8,813.14

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Solution

The fourth proportional to 14,475.43, 19,972.86 and 8,813.14 is: 12,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475.43 : 19,972.86 = 8,813.14 : x
  2. Step 2: Convert to fraction form
    14,475.43/19,972.86 = 8,813.14/x
  3. Step 3: Cross multiply
    14,475.43x = 19,972.86 × 8,813.14
  4. Step 4: Simplify right side
    14,475.43x = 176,023,611.38
  5. Step 5: Solve for x
    x = 176,023,611.38/14,475.43
  6. Step 6: Final answer
    x = 12,160.16

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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.