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Finding the Fourth Proportional to 8,442.75, 12,655.49 and 3,515.25

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Solution

The fourth proportional to 8,442.75, 12,655.49 and 3,515.25 is: 5,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.75 : 12,655.49 = 3,515.25 : x
  2. Step 2: Convert to fraction form
    8,442.75/12,655.49 = 3,515.25/x
  3. Step 3: Cross multiply
    8,442.75x = 12,655.49 × 3,515.25
  4. Step 4: Simplify right side
    8,442.75x = 44,487,193.65
  5. Step 5: Solve for x
    x = 44,487,193.65/8,442.75
  6. Step 6: Final answer
    x = 5,269.28

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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.