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Finding the Fourth Proportional to 2,472.88, 3,710.02 and 1,238.80

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Solution

The fourth proportional to 2,472.88, 3,710.02 and 1,238.80 is: 1,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.88 : 3,710.02 = 1,238.80 : x
  2. Step 2: Convert to fraction form
    2,472.88/3,710.02 = 1,238.80/x
  3. Step 3: Cross multiply
    2,472.88x = 3,710.02 × 1,238.80
  4. Step 4: Simplify right side
    2,472.88x = 4,595,972.78
  5. Step 5: Solve for x
    x = 4,595,972.78/2,472.88
  6. Step 6: Final answer
    x = 1,858.55

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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.