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Finding the Fourth Proportional to 2,855.74, 4,282.86 and 981.61

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Solution

The fourth proportional to 2,855.74, 4,282.86 and 981.61 is: 1,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.74 : 4,282.86 = 981.61 : x
  2. Step 2: Convert to fraction form
    2,855.74/4,282.86 = 981.61/x
  3. Step 3: Cross multiply
    2,855.74x = 4,282.86 × 981.61
  4. Step 4: Simplify right side
    2,855.74x = 4,204,098.20
  5. Step 5: Solve for x
    x = 4,204,098.20/2,855.74
  6. Step 6: Final answer
    x = 1,472.16

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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.