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Finding the Fourth Proportional to 3,438.57, 5,157.87 and 1,358.49

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Solution

The fourth proportional to 3,438.57, 5,157.87 and 1,358.49 is: 2,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.57 : 5,157.87 = 1,358.49 : x
  2. Step 2: Convert to fraction form
    3,438.57/5,157.87 = 1,358.49/x
  3. Step 3: Cross multiply
    3,438.57x = 5,157.87 × 1,358.49
  4. Step 4: Simplify right side
    3,438.57x = 7,006,914.82
  5. Step 5: Solve for x
    x = 7,006,914.82/3,438.57
  6. Step 6: Final answer
    x = 2,037.74

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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.