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Finding the Fourth Proportional to 8,499.92, 12,750.36 and 3,569.78

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Solution

The fourth proportional to 8,499.92, 12,750.36 and 3,569.78 is: 5,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.92 : 12,750.36 = 3,569.78 : x
  2. Step 2: Convert to fraction form
    8,499.92/12,750.36 = 3,569.78/x
  3. Step 3: Cross multiply
    8,499.92x = 12,750.36 × 3,569.78
  4. Step 4: Simplify right side
    8,499.92x = 45,515,980.12
  5. Step 5: Solve for x
    x = 45,515,980.12/8,499.92
  6. Step 6: Final answer
    x = 5,354.87

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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.