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Finding the Fourth Proportional to 2,600.32, 3,901.20 and 869.44

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Solution

The fourth proportional to 2,600.32, 3,901.20 and 869.44 is: 1,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.32 : 3,901.20 = 869.44 : x
  2. Step 2: Convert to fraction form
    2,600.32/3,901.20 = 869.44/x
  3. Step 3: Cross multiply
    2,600.32x = 3,901.20 × 869.44
  4. Step 4: Simplify right side
    2,600.32x = 3,391,859.33
  5. Step 5: Solve for x
    x = 3,391,859.33/2,600.32
  6. Step 6: Final answer
    x = 1,304.40

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1.5x scale

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.