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Finding the Fourth Proportional to 6,615.76, 9,896.28 and 5,432.44

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Solution

The fourth proportional to 6,615.76, 9,896.28 and 5,432.44 is: 8,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.76 : 9,896.28 = 5,432.44 : x
  2. Step 2: Convert to fraction form
    6,615.76/9,896.28 = 5,432.44/x
  3. Step 3: Cross multiply
    6,615.76x = 9,896.28 × 5,432.44
  4. Step 4: Simplify right side
    6,615.76x = 53,760,947.32
  5. Step 5: Solve for x
    x = 53,760,947.32/6,615.76
  6. Step 6: Final answer
    x = 8,126.19

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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.