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Finding the Fourth Proportional to 1,438.32, 2,158.02 and 861.60

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Solution

The fourth proportional to 1,438.32, 2,158.02 and 861.60 is: 1,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.32 : 2,158.02 = 861.60 : x
  2. Step 2: Convert to fraction form
    1,438.32/2,158.02 = 861.60/x
  3. Step 3: Cross multiply
    1,438.32x = 2,158.02 × 861.60
  4. Step 4: Simplify right side
    1,438.32x = 1,859,350.03
  5. Step 5: Solve for x
    x = 1,859,350.03/1,438.32
  6. Step 6: Final answer
    x = 1,292.72

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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.