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Finding the Fourth Proportional to 14,469, 21,687.10 and 5,693.66

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Solution

The fourth proportional to 14,469, 21,687.10 and 5,693.66 is: 8,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469 : 21,687.10 = 5,693.66 : x
  2. Step 2: Convert to fraction form
    14,469/21,687.10 = 5,693.66/x
  3. Step 3: Cross multiply
    14,469x = 21,687.10 × 5,693.66
  4. Step 4: Simplify right side
    14,469x = 123,478,973.79
  5. Step 5: Solve for x
    x = 123,478,973.79/14,469
  6. Step 6: Final answer
    x = 8,534.04

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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.