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Finding the Fourth Proportional to 3,157.85, 4,737.03 and 968.12

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Solution

The fourth proportional to 3,157.85, 4,737.03 and 968.12 is: 1,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.85 : 4,737.03 = 968.12 : x
  2. Step 2: Convert to fraction form
    3,157.85/4,737.03 = 968.12/x
  3. Step 3: Cross multiply
    3,157.85x = 4,737.03 × 968.12
  4. Step 4: Simplify right side
    3,157.85x = 4,585,989.80
  5. Step 5: Solve for x
    x = 4,585,989.80/3,157.85
  6. Step 6: Final answer
    x = 1,452.25

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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.