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Finding the Fourth Proportional to 5,677.97, 8,515.98 and 1,781.46

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Solution

The fourth proportional to 5,677.97, 8,515.98 and 1,781.46 is: 2,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.97 : 8,515.98 = 1,781.46 : x
  2. Step 2: Convert to fraction form
    5,677.97/8,515.98 = 1,781.46/x
  3. Step 3: Cross multiply
    5,677.97x = 8,515.98 × 1,781.46
  4. Step 4: Simplify right side
    5,677.97x = 15,170,877.73
  5. Step 5: Solve for x
    x = 15,170,877.73/5,677.97
  6. Step 6: Final answer
    x = 2,671.89

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1.5x scale

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.