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Finding the Fourth Proportional to 8,761.60, 13,147.44 and 4,865.68

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Solution

The fourth proportional to 8,761.60, 13,147.44 and 4,865.68 is: 7,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.60 : 13,147.44 = 4,865.68 : x
  2. Step 2: Convert to fraction form
    8,761.60/13,147.44 = 4,865.68/x
  3. Step 3: Cross multiply
    8,761.60x = 13,147.44 × 4,865.68
  4. Step 4: Simplify right side
    8,761.60x = 63,971,235.86
  5. Step 5: Solve for x
    x = 63,971,235.86/8,761.60
  6. Step 6: Final answer
    x = 7,301.32

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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.