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Finding the Fourth Proportional to 3,644.60, 5,472.30 and 2,823.80

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Solution

The fourth proportional to 3,644.60, 5,472.30 and 2,823.80 is: 4,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.60 : 5,472.30 = 2,823.80 : x
  2. Step 2: Convert to fraction form
    3,644.60/5,472.30 = 2,823.80/x
  3. Step 3: Cross multiply
    3,644.60x = 5,472.30 × 2,823.80
  4. Step 4: Simplify right side
    3,644.60x = 15,452,680.74
  5. Step 5: Solve for x
    x = 15,452,680.74/3,644.60
  6. Step 6: Final answer
    x = 4,239.88

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1.5x scale

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.