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Finding the Fourth Proportional to 8,422.38, 11,623.20 and 4,645.69

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Solution

The fourth proportional to 8,422.38, 11,623.20 and 4,645.69 is: 6,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.38 : 11,623.20 = 4,645.69 : x
  2. Step 2: Convert to fraction form
    8,422.38/11,623.20 = 4,645.69/x
  3. Step 3: Cross multiply
    8,422.38x = 11,623.20 × 4,645.69
  4. Step 4: Simplify right side
    8,422.38x = 53,997,737.53
  5. Step 5: Solve for x
    x = 53,997,737.53/8,422.38
  6. Step 6: Final answer
    x = 6,411.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.