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Finding the Fourth Proportional to 2,166.52, 3,250.50 and 1,438.96

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Solution

The fourth proportional to 2,166.52, 3,250.50 and 1,438.96 is: 2,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.52 : 3,250.50 = 1,438.96 : x
  2. Step 2: Convert to fraction form
    2,166.52/3,250.50 = 1,438.96/x
  3. Step 3: Cross multiply
    2,166.52x = 3,250.50 × 1,438.96
  4. Step 4: Simplify right side
    2,166.52x = 4,677,339.48
  5. Step 5: Solve for x
    x = 4,677,339.48/2,166.52
  6. Step 6: Final answer
    x = 2,158.92

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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.