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Finding the Fourth Proportional to 5,188.57, 7,781.70 and 1,678.88

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Solution

The fourth proportional to 5,188.57, 7,781.70 and 1,678.88 is: 2,517.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.57 : 7,781.70 = 1,678.88 : x
  2. Step 2: Convert to fraction form
    5,188.57/7,781.70 = 1,678.88/x
  3. Step 3: Cross multiply
    5,188.57x = 7,781.70 × 1,678.88
  4. Step 4: Simplify right side
    5,188.57x = 13,064,540.50
  5. Step 5: Solve for x
    x = 13,064,540.50/5,188.57
  6. Step 6: Final answer
    x = 2,517.95

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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.