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Finding the Fourth Proportional to 10,487.20, 14,472 and 5,771.84

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Solution

The fourth proportional to 10,487.20, 14,472 and 5,771.84 is: 7,964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.20 : 14,472 = 5,771.84 : x
  2. Step 2: Convert to fraction form
    10,487.20/14,472 = 5,771.84/x
  3. Step 3: Cross multiply
    10,487.20x = 14,472 × 5,771.84
  4. Step 4: Simplify right side
    10,487.20x = 83,530,068.48
  5. Step 5: Solve for x
    x = 83,530,068.48/10,487.20
  6. Step 6: Final answer
    x = 7,964.95

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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.