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Finding the Fourth Proportional to 5,781.78, 8,674.08 and 1,677.78

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Solution

The fourth proportional to 5,781.78, 8,674.08 and 1,677.78 is: 2,517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.78 : 8,674.08 = 1,677.78 : x
  2. Step 2: Convert to fraction form
    5,781.78/8,674.08 = 1,677.78/x
  3. Step 3: Cross multiply
    5,781.78x = 8,674.08 × 1,677.78
  4. Step 4: Simplify right side
    5,781.78x = 14,553,197.94
  5. Step 5: Solve for x
    x = 14,553,197.94/5,781.78
  6. Step 6: Final answer
    x = 2,517.08

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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.