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Finding the Fourth Proportional to 3,800, 5,702.52 and 1,491.68

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Solution

The fourth proportional to 3,800, 5,702.52 and 1,491.68 is: 2,238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800 : 5,702.52 = 1,491.68 : x
  2. Step 2: Convert to fraction form
    3,800/5,702.52 = 1,491.68/x
  3. Step 3: Cross multiply
    3,800x = 5,702.52 × 1,491.68
  4. Step 4: Simplify right side
    3,800x = 8,506,335.03
  5. Step 5: Solve for x
    x = 8,506,335.03/3,800
  6. Step 6: Final answer
    x = 2,238.51

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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.