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Finding the Fourth Proportional to 6,442.72, 9,665.52 and 2,547.52

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Solution

The fourth proportional to 6,442.72, 9,665.52 and 2,547.52 is: 3,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.72 : 9,665.52 = 2,547.52 : x
  2. Step 2: Convert to fraction form
    6,442.72/9,665.52 = 2,547.52/x
  3. Step 3: Cross multiply
    6,442.72x = 9,665.52 × 2,547.52
  4. Step 4: Simplify right side
    6,442.72x = 24,623,105.51
  5. Step 5: Solve for x
    x = 24,623,105.51/6,442.72
  6. Step 6: Final answer
    x = 3,821.85

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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.