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Finding the Fourth Proportional to 3,728.47, 5,591.46 and 1,506.73

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Solution

The fourth proportional to 3,728.47, 5,591.46 and 1,506.73 is: 2,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.47 : 5,591.46 = 1,506.73 : x
  2. Step 2: Convert to fraction form
    3,728.47/5,591.46 = 1,506.73/x
  3. Step 3: Cross multiply
    3,728.47x = 5,591.46 × 1,506.73
  4. Step 4: Simplify right side
    3,728.47x = 8,424,820.53
  5. Step 5: Solve for x
    x = 8,424,820.53/3,728.47
  6. Step 6: Final answer
    x = 2,259.59

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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.