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Finding the Fourth Proportional to 8,679.76, 13,020 and 2,523.76

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Solution

The fourth proportional to 8,679.76, 13,020 and 2,523.76 is: 3,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,679.76 : 13,020 = 2,523.76 : x
  2. Step 2: Convert to fraction form
    8,679.76/13,020 = 2,523.76/x
  3. Step 3: Cross multiply
    8,679.76x = 13,020 × 2,523.76
  4. Step 4: Simplify right side
    8,679.76x = 32,859,355.20
  5. Step 5: Solve for x
    x = 32,859,355.20/8,679.76
  6. Step 6: Final answer
    x = 3,785.74

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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.