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Finding the Fourth Proportional to 2,240.32, 3,359.96 and 853.82

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Solution

The fourth proportional to 2,240.32, 3,359.96 and 853.82 is: 1,280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.32 : 3,359.96 = 853.82 : x
  2. Step 2: Convert to fraction form
    2,240.32/3,359.96 = 853.82/x
  3. Step 3: Cross multiply
    2,240.32x = 3,359.96 × 853.82
  4. Step 4: Simplify right side
    2,240.32x = 2,868,801.05
  5. Step 5: Solve for x
    x = 2,868,801.05/2,240.32
  6. Step 6: Final answer
    x = 1,280.53

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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.