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Finding the Fourth Proportional to 14,142, 19,520.88 and 8,553.04

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Solution

The fourth proportional to 14,142, 19,520.88 and 8,553.04 is: 11,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142 : 19,520.88 = 8,553.04 : x
  2. Step 2: Convert to fraction form
    14,142/19,520.88 = 8,553.04/x
  3. Step 3: Cross multiply
    14,142x = 19,520.88 × 8,553.04
  4. Step 4: Simplify right side
    14,142x = 166,962,867.48
  5. Step 5: Solve for x
    x = 166,962,867.48/14,142
  6. Step 6: Final answer
    x = 11,806.17

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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.