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Finding the Fourth Proportional to 2,239.61, 3,361.14 and 853.92

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Solution

The fourth proportional to 2,239.61, 3,361.14 and 853.92 is: 1,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.61 : 3,361.14 = 853.92 : x
  2. Step 2: Convert to fraction form
    2,239.61/3,361.14 = 853.92/x
  3. Step 3: Cross multiply
    2,239.61x = 3,361.14 × 853.92
  4. Step 4: Simplify right side
    2,239.61x = 2,870,144.67
  5. Step 5: Solve for x
    x = 2,870,144.67/2,239.61
  6. Step 6: Final answer
    x = 1,281.54

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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.