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Finding the Fourth Proportional to 2,488.61, 3,733.14 and 733.61

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Solution

The fourth proportional to 2,488.61, 3,733.14 and 733.61 is: 1,100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.61 : 3,733.14 = 733.61 : x
  2. Step 2: Convert to fraction form
    2,488.61/3,733.14 = 733.61/x
  3. Step 3: Cross multiply
    2,488.61x = 3,733.14 × 733.61
  4. Step 4: Simplify right side
    2,488.61x = 2,738,668.84
  5. Step 5: Solve for x
    x = 2,738,668.84/2,488.61
  6. Step 6: Final answer
    x = 1,100.48

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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.