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Finding the Fourth Proportional to 6,651.31, 9,976.91 and 2,547.31

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Solution

The fourth proportional to 6,651.31, 9,976.91 and 2,547.31 is: 3,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.31 : 9,976.91 = 2,547.31 : x
  2. Step 2: Convert to fraction form
    6,651.31/9,976.91 = 2,547.31/x
  3. Step 3: Cross multiply
    6,651.31x = 9,976.91 × 2,547.31
  4. Step 4: Simplify right side
    6,651.31x = 25,414,269.88
  5. Step 5: Solve for x
    x = 25,414,269.88/6,651.31
  6. Step 6: Final answer
    x = 3,820.94

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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.