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Finding the Fourth Proportional to 3,157.97, 4,737.14 and 1,309.22

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Solution

The fourth proportional to 3,157.97, 4,737.14 and 1,309.22 is: 1,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.97 : 4,737.14 = 1,309.22 : x
  2. Step 2: Convert to fraction form
    3,157.97/4,737.14 = 1,309.22/x
  3. Step 3: Cross multiply
    3,157.97x = 4,737.14 × 1,309.22
  4. Step 4: Simplify right side
    3,157.97x = 6,201,928.20
  5. Step 5: Solve for x
    x = 6,201,928.20/3,157.97
  6. Step 6: Final answer
    x = 1,963.90

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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.