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Finding the Fourth Proportional to 8,506.60, 12,761.26 and 2,961.52

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Solution

The fourth proportional to 8,506.60, 12,761.26 and 2,961.52 is: 4,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.60 : 12,761.26 = 2,961.52 : x
  2. Step 2: Convert to fraction form
    8,506.60/12,761.26 = 2,961.52/x
  3. Step 3: Cross multiply
    8,506.60x = 12,761.26 × 2,961.52
  4. Step 4: Simplify right side
    8,506.60x = 37,792,687.41
  5. Step 5: Solve for x
    x = 37,792,687.41/8,506.60
  6. Step 6: Final answer
    x = 4,442.75

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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.