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Finding the Fourth Proportional to 2,561.56, 3,842.35 and 918.59

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Solution

The fourth proportional to 2,561.56, 3,842.35 and 918.59 is: 1,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.56 : 3,842.35 = 918.59 : x
  2. Step 2: Convert to fraction form
    2,561.56/3,842.35 = 918.59/x
  3. Step 3: Cross multiply
    2,561.56x = 3,842.35 × 918.59
  4. Step 4: Simplify right side
    2,561.56x = 3,529,522.78
  5. Step 5: Solve for x
    x = 3,529,522.78/2,561.56
  6. Step 6: Final answer
    x = 1,377.88

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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.