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Finding the Fourth Proportional to 8,446.62, 12,669.96 and 2,603.20

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Solution

The fourth proportional to 8,446.62, 12,669.96 and 2,603.20 is: 3,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.62 : 12,669.96 = 2,603.20 : x
  2. Step 2: Convert to fraction form
    8,446.62/12,669.96 = 2,603.20/x
  3. Step 3: Cross multiply
    8,446.62x = 12,669.96 × 2,603.20
  4. Step 4: Simplify right side
    8,446.62x = 32,982,439.87
  5. Step 5: Solve for x
    x = 32,982,439.87/8,446.62
  6. Step 6: Final answer
    x = 3,904.81

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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.