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Finding the Fourth Proportional to 8,742.67, 13,113.87 and 2,168.82

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Solution

The fourth proportional to 8,742.67, 13,113.87 and 2,168.82 is: 3,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.67 : 13,113.87 = 2,168.82 : x
  2. Step 2: Convert to fraction form
    8,742.67/13,113.87 = 2,168.82/x
  3. Step 3: Cross multiply
    8,742.67x = 13,113.87 × 2,168.82
  4. Step 4: Simplify right side
    8,742.67x = 28,441,623.53
  5. Step 5: Solve for x
    x = 28,441,623.53/8,742.67
  6. Step 6: Final answer
    x = 3,253.20

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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.