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Finding the Fourth Proportional to 8,374, 12,561.86 and 2,218

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Solution

The fourth proportional to 8,374, 12,561.86 and 2,218 is: 3,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374 : 12,561.86 = 2,218 : x
  2. Step 2: Convert to fraction form
    8,374/12,561.86 = 2,218/x
  3. Step 3: Cross multiply
    8,374x = 12,561.86 × 2,218
  4. Step 4: Simplify right side
    8,374x = 27,862,205.48
  5. Step 5: Solve for x
    x = 27,862,205.48/8,374
  6. Step 6: Final answer
    x = 3,327.23

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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.