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Finding the Fourth Proportional to 5,197.71, 7,797.79 and 1,687.72

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Solution

The fourth proportional to 5,197.71, 7,797.79 and 1,687.72 is: 2,531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.71 : 7,797.79 = 1,687.72 : x
  2. Step 2: Convert to fraction form
    5,197.71/7,797.79 = 1,687.72/x
  3. Step 3: Cross multiply
    5,197.71x = 7,797.79 × 1,687.72
  4. Step 4: Simplify right side
    5,197.71x = 13,160,486.14
  5. Step 5: Solve for x
    x = 13,160,486.14/5,197.71
  6. Step 6: Final answer
    x = 2,531.98

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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.