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Finding the Fourth Proportional to 2,139, 3,202.26 and 1,520.76

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Solution

The fourth proportional to 2,139, 3,202.26 and 1,520.76 is: 2,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139 : 3,202.26 = 1,520.76 : x
  2. Step 2: Convert to fraction form
    2,139/3,202.26 = 1,520.76/x
  3. Step 3: Cross multiply
    2,139x = 3,202.26 × 1,520.76
  4. Step 4: Simplify right side
    2,139x = 4,869,868.92
  5. Step 5: Solve for x
    x = 4,869,868.92/2,139
  6. Step 6: Final answer
    x = 2,276.70

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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.