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Finding the Fourth Proportional to 10,140, 15,211.92 and 4,668

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Solution

The fourth proportional to 10,140, 15,211.92 and 4,668 is: 7,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140 : 15,211.92 = 4,668 : x
  2. Step 2: Convert to fraction form
    10,140/15,211.92 = 4,668/x
  3. Step 3: Cross multiply
    10,140x = 15,211.92 × 4,668
  4. Step 4: Simplify right side
    10,140x = 71,009,242.56
  5. Step 5: Solve for x
    x = 71,009,242.56/10,140
  6. Step 6: Final answer
    x = 7,002.88

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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.