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Finding the Fourth Proportional to 6,490.72, 9,731.28 and 2,592.16

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Solution

The fourth proportional to 6,490.72, 9,731.28 and 2,592.16 is: 3,886.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.72 : 9,731.28 = 2,592.16 : x
  2. Step 2: Convert to fraction form
    6,490.72/9,731.28 = 2,592.16/x
  3. Step 3: Cross multiply
    6,490.72x = 9,731.28 × 2,592.16
  4. Step 4: Simplify right side
    6,490.72x = 25,225,034.76
  5. Step 5: Solve for x
    x = 25,225,034.76/6,490.72
  6. Step 6: Final answer
    x = 3,886.32

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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.