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Finding the Fourth Proportional to 14,772.92, 20,388.51 and 8,402.00

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Solution

The fourth proportional to 14,772.92, 20,388.51 and 8,402.00 is: 11,595.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.92 : 20,388.51 = 8,402.00 : x
  2. Step 2: Convert to fraction form
    14,772.92/20,388.51 = 8,402.00/x
  3. Step 3: Cross multiply
    14,772.92x = 20,388.51 × 8,402.00
  4. Step 4: Simplify right side
    14,772.92x = 171,304,159.08
  5. Step 5: Solve for x
    x = 171,304,159.08/14,772.92
  6. Step 6: Final answer
    x = 11,595.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.