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Finding the Fourth Proportional to 3,157.96, 4,737.84 and 1,309.16

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Solution

The fourth proportional to 3,157.96, 4,737.84 and 1,309.16 is: 1,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.96 : 4,737.84 = 1,309.16 : x
  2. Step 2: Convert to fraction form
    3,157.96/4,737.84 = 1,309.16/x
  3. Step 3: Cross multiply
    3,157.96x = 4,737.84 × 1,309.16
  4. Step 4: Simplify right side
    3,157.96x = 6,202,590.61
  5. Step 5: Solve for x
    x = 6,202,590.61/3,157.96
  6. Step 6: Final answer
    x = 1,964.11

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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.