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Finding the Fourth Proportional to 8,372.64, 12,561.24 and 3,445.76

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Solution

The fourth proportional to 8,372.64, 12,561.24 and 3,445.76 is: 5,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,372.64 : 12,561.24 = 3,445.76 : x
  2. Step 2: Convert to fraction form
    8,372.64/12,561.24 = 3,445.76/x
  3. Step 3: Cross multiply
    8,372.64x = 12,561.24 × 3,445.76
  4. Step 4: Simplify right side
    8,372.64x = 43,283,018.34
  5. Step 5: Solve for x
    x = 43,283,018.34/8,372.64
  6. Step 6: Final answer
    x = 5,169.58

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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.