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Finding the Fourth Proportional to 2,600.12, 3,900.50 and 1,060.92

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Solution

The fourth proportional to 2,600.12, 3,900.50 and 1,060.92 is: 1,591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.12 : 3,900.50 = 1,060.92 : x
  2. Step 2: Convert to fraction form
    2,600.12/3,900.50 = 1,060.92/x
  3. Step 3: Cross multiply
    2,600.12x = 3,900.50 × 1,060.92
  4. Step 4: Simplify right side
    2,600.12x = 4,138,118.46
  5. Step 5: Solve for x
    x = 4,138,118.46/2,600.12
  6. Step 6: Final answer
    x = 1,591.51

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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.