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Finding the Fourth Proportional to 5,126, 7,689 and 1,663.25

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Solution

The fourth proportional to 5,126, 7,689 and 1,663.25 is: 2,494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126 : 7,689 = 1,663.25 : x
  2. Step 2: Convert to fraction form
    5,126/7,689 = 1,663.25/x
  3. Step 3: Cross multiply
    5,126x = 7,689 × 1,663.25
  4. Step 4: Simplify right side
    5,126x = 12,788,729.25
  5. Step 5: Solve for x
    x = 12,788,729.25/5,126
  6. Step 6: Final answer
    x = 2,494.88

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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.