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Finding the Fourth Proportional to 7,129.20, 9,841.92 and 4,892

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Solution

The fourth proportional to 7,129.20, 9,841.92 and 4,892 is: 6,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.20 : 9,841.92 = 4,892 : x
  2. Step 2: Convert to fraction form
    7,129.20/9,841.92 = 4,892/x
  3. Step 3: Cross multiply
    7,129.20x = 9,841.92 × 4,892
  4. Step 4: Simplify right side
    7,129.20x = 48,146,672.64
  5. Step 5: Solve for x
    x = 48,146,672.64/7,129.20
  6. Step 6: Final answer
    x = 6,753.45

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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.