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Finding the Fourth Proportional to 2,878.74, 4,318.11 and 798.66

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Solution

The fourth proportional to 2,878.74, 4,318.11 and 798.66 is: 1,197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.74 : 4,318.11 = 798.66 : x
  2. Step 2: Convert to fraction form
    2,878.74/4,318.11 = 798.66/x
  3. Step 3: Cross multiply
    2,878.74x = 4,318.11 × 798.66
  4. Step 4: Simplify right side
    2,878.74x = 3,448,701.73
  5. Step 5: Solve for x
    x = 3,448,701.73/2,878.74
  6. Step 6: Final answer
    x = 1,197.99

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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.