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Finding the Fourth Proportional to 2,601.56, 3,902.74 and 869.78

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Solution

The fourth proportional to 2,601.56, 3,902.74 and 869.78 is: 1,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.56 : 3,902.74 = 869.78 : x
  2. Step 2: Convert to fraction form
    2,601.56/3,902.74 = 869.78/x
  3. Step 3: Cross multiply
    2,601.56x = 3,902.74 × 869.78
  4. Step 4: Simplify right side
    2,601.56x = 3,394,525.20
  5. Step 5: Solve for x
    x = 3,394,525.20/2,601.56
  6. Step 6: Final answer
    x = 1,304.80

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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.