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Finding the Fourth Proportional to 8,418, 11,614.82 and 5,433.20

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Solution

The fourth proportional to 8,418, 11,614.82 and 5,433.20 is: 7,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,418 : 11,614.82 = 5,433.20 : x
  2. Step 2: Convert to fraction form
    8,418/11,614.82 = 5,433.20/x
  3. Step 3: Cross multiply
    8,418x = 11,614.82 × 5,433.20
  4. Step 4: Simplify right side
    8,418x = 63,105,640.02
  5. Step 5: Solve for x
    x = 63,105,640.02/8,418
  6. Step 6: Final answer
    x = 7,496.51

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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.