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Finding the Fourth Proportional to 8,020.53, 12,023.51 and 5,418

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Solution

The fourth proportional to 8,020.53, 12,023.51 and 5,418 is: 8,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.53 : 12,023.51 = 5,418 : x
  2. Step 2: Convert to fraction form
    8,020.53/12,023.51 = 5,418/x
  3. Step 3: Cross multiply
    8,020.53x = 12,023.51 × 5,418
  4. Step 4: Simplify right side
    8,020.53x = 65,143,350.09
  5. Step 5: Solve for x
    x = 65,143,350.09/8,020.53
  6. Step 6: Final answer
    x = 8,122.08

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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.