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Finding the Fourth Proportional to 8,431.76, 12,642.24 and 3,504.80

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Solution

The fourth proportional to 8,431.76, 12,642.24 and 3,504.80 is: 5,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.76 : 12,642.24 = 3,504.80 : x
  2. Step 2: Convert to fraction form
    8,431.76/12,642.24 = 3,504.80/x
  3. Step 3: Cross multiply
    8,431.76x = 12,642.24 × 3,504.80
  4. Step 4: Simplify right side
    8,431.76x = 44,308,522.75
  5. Step 5: Solve for x
    x = 44,308,522.75/8,431.76
  6. Step 6: Final answer
    x = 5,254.96

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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.