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Finding the Fourth Proportional to 5,188.58, 7,781.76 and 1,678.90

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Solution

The fourth proportional to 5,188.58, 7,781.76 and 1,678.90 is: 2,517.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.58 : 7,781.76 = 1,678.90 : x
  2. Step 2: Convert to fraction form
    5,188.58/7,781.76 = 1,678.90/x
  3. Step 3: Cross multiply
    5,188.58x = 7,781.76 × 1,678.90
  4. Step 4: Simplify right side
    5,188.58x = 13,064,796.86
  5. Step 5: Solve for x
    x = 13,064,796.86/5,188.58
  6. Step 6: Final answer
    x = 2,517.99

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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.