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Finding the Fourth Proportional to 2,651.20, 3,658.38 and 1,472.24

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Solution

The fourth proportional to 2,651.20, 3,658.38 and 1,472.24 is: 2,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.20 : 3,658.38 = 1,472.24 : x
  2. Step 2: Convert to fraction form
    2,651.20/3,658.38 = 1,472.24/x
  3. Step 3: Cross multiply
    2,651.20x = 3,658.38 × 1,472.24
  4. Step 4: Simplify right side
    2,651.20x = 5,386,013.37
  5. Step 5: Solve for x
    x = 5,386,013.37/2,651.20
  6. Step 6: Final answer
    x = 2,031.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.