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Finding the Fourth Proportional to 5,188.53, 7,781.00 and 1,677.64

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Solution

The fourth proportional to 5,188.53, 7,781.00 and 1,677.64 is: 2,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.53 : 7,781.00 = 1,677.64 : x
  2. Step 2: Convert to fraction form
    5,188.53/7,781.00 = 1,677.64/x
  3. Step 3: Cross multiply
    5,188.53x = 7,781.00 × 1,677.64
  4. Step 4: Simplify right side
    5,188.53x = 13,053,682.13
  5. Step 5: Solve for x
    x = 13,053,682.13/5,188.53
  6. Step 6: Final answer
    x = 2,515.87

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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.