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Finding the Fourth Proportional to 14,540, 21,812.82 and 4,679.42

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Solution

The fourth proportional to 14,540, 21,812.82 and 4,679.42 is: 7,020.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,540 : 21,812.82 = 4,679.42 : x
  2. Step 2: Convert to fraction form
    14,540/21,812.82 = 4,679.42/x
  3. Step 3: Cross multiply
    14,540x = 21,812.82 × 4,679.42
  4. Step 4: Simplify right side
    14,540x = 102,071,346.16
  5. Step 5: Solve for x
    x = 102,071,346.16/14,540
  6. Step 6: Final answer
    x = 7,020.04

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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.