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Finding the Fourth Proportional to 3,488.34, 5,232.46 and 891.24

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Solution

The fourth proportional to 3,488.34, 5,232.46 and 891.24 is: 1,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.34 : 5,232.46 = 891.24 : x
  2. Step 2: Convert to fraction form
    3,488.34/5,232.46 = 891.24/x
  3. Step 3: Cross multiply
    3,488.34x = 5,232.46 × 891.24
  4. Step 4: Simplify right side
    3,488.34x = 4,663,377.65
  5. Step 5: Solve for x
    x = 4,663,377.65/3,488.34
  6. Step 6: Final answer
    x = 1,336.85

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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.