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Finding the Fourth Proportional to 6,615.20, 9,929.28 and 5,040.56

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Solution

The fourth proportional to 6,615.20, 9,929.28 and 5,040.56 is: 7,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.20 : 9,929.28 = 5,040.56 : x
  2. Step 2: Convert to fraction form
    6,615.20/9,929.28 = 5,040.56/x
  3. Step 3: Cross multiply
    6,615.20x = 9,929.28 × 5,040.56
  4. Step 4: Simplify right side
    6,615.20x = 50,049,131.60
  5. Step 5: Solve for x
    x = 50,049,131.60/6,615.20
  6. Step 6: Final answer
    x = 7,565.78

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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.