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Finding the Fourth Proportional to 10,142, 15,214.92 and 4,670

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Solution

The fourth proportional to 10,142, 15,214.92 and 4,670 is: 7,005.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142 : 15,214.92 = 4,670 : x
  2. Step 2: Convert to fraction form
    10,142/15,214.92 = 4,670/x
  3. Step 3: Cross multiply
    10,142x = 15,214.92 × 4,670
  4. Step 4: Simplify right side
    10,142x = 71,053,676.40
  5. Step 5: Solve for x
    x = 71,053,676.40/10,142
  6. Step 6: Final answer
    x = 7,005.88

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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.