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Finding the Fourth Proportional to 5,137, 7,706.78 and 1,489

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Solution

The fourth proportional to 5,137, 7,706.78 and 1,489 is: 2,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137 : 7,706.78 = 1,489 : x
  2. Step 2: Convert to fraction form
    5,137/7,706.78 = 1,489/x
  3. Step 3: Cross multiply
    5,137x = 7,706.78 × 1,489
  4. Step 4: Simplify right side
    5,137x = 11,475,395.42
  5. Step 5: Solve for x
    x = 11,475,395.42/5,137
  6. Step 6: Final answer
    x = 2,233.87

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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.