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Finding the Fourth Proportional to 2,488.62, 3,738.35 and 2,405.58

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Solution

The fourth proportional to 2,488.62, 3,738.35 and 2,405.58 is: 3,613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.62 : 3,738.35 = 2,405.58 : x
  2. Step 2: Convert to fraction form
    2,488.62/3,738.35 = 2,405.58/x
  3. Step 3: Cross multiply
    2,488.62x = 3,738.35 × 2,405.58
  4. Step 4: Simplify right side
    2,488.62x = 8,992,899.99
  5. Step 5: Solve for x
    x = 8,992,899.99/2,488.62
  6. Step 6: Final answer
    x = 3,613.61

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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.