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Finding the Fourth Proportional to 8,676, 13,013.28 and 4,291.92

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Solution

The fourth proportional to 8,676, 13,013.28 and 4,291.92 is: 6,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676 : 13,013.28 = 4,291.92 : x
  2. Step 2: Convert to fraction form
    8,676/13,013.28 = 4,291.92/x
  3. Step 3: Cross multiply
    8,676x = 13,013.28 × 4,291.92
  4. Step 4: Simplify right side
    8,676x = 55,851,956.70
  5. Step 5: Solve for x
    x = 55,851,956.70/8,676
  6. Step 6: Final answer
    x = 6,437.52

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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.