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Finding the Fourth Proportional to 5,678.61, 8,517.94 and 1,729.90

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Solution

The fourth proportional to 5,678.61, 8,517.94 and 1,729.90 is: 2,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.61 : 8,517.94 = 1,729.90 : x
  2. Step 2: Convert to fraction form
    5,678.61/8,517.94 = 1,729.90/x
  3. Step 3: Cross multiply
    5,678.61x = 8,517.94 × 1,729.90
  4. Step 4: Simplify right side
    5,678.61x = 14,735,156.62
  5. Step 5: Solve for x
    x = 14,735,156.62/5,678.61
  6. Step 6: Final answer
    x = 2,594.85

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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.