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Finding the Fourth Proportional to 3,489.78, 5,232.39 and 1,148.98

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Solution

The fourth proportional to 3,489.78, 5,232.39 and 1,148.98 is: 1,722.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.78 : 5,232.39 = 1,148.98 : x
  2. Step 2: Convert to fraction form
    3,489.78/5,232.39 = 1,148.98/x
  3. Step 3: Cross multiply
    3,489.78x = 5,232.39 × 1,148.98
  4. Step 4: Simplify right side
    3,489.78x = 6,011,911.46
  5. Step 5: Solve for x
    x = 6,011,911.46/3,489.78
  6. Step 6: Final answer
    x = 1,722.72

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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.