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Finding the Fourth Proportional to 2,488.92, 3,733.92 and 757.50

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Solution

The fourth proportional to 2,488.92, 3,733.92 and 757.50 is: 1,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.92 : 3,733.92 = 757.50 : x
  2. Step 2: Convert to fraction form
    2,488.92/3,733.92 = 757.50/x
  3. Step 3: Cross multiply
    2,488.92x = 3,733.92 × 757.50
  4. Step 4: Simplify right side
    2,488.92x = 2,828,444.40
  5. Step 5: Solve for x
    x = 2,828,444.40/2,488.92
  6. Step 6: Final answer
    x = 1,136.41

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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.