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Finding the Fourth Proportional to 3,737.70, 5,157.86 and 2,143.24

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Solution

The fourth proportional to 3,737.70, 5,157.86 and 2,143.24 is: 2,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.70 : 5,157.86 = 2,143.24 : x
  2. Step 2: Convert to fraction form
    3,737.70/5,157.86 = 2,143.24/x
  3. Step 3: Cross multiply
    3,737.70x = 5,157.86 × 2,143.24
  4. Step 4: Simplify right side
    3,737.70x = 11,054,525.07
  5. Step 5: Solve for x
    x = 11,054,525.07/3,737.70
  6. Step 6: Final answer
    x = 2,957.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.