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Finding the Fourth Proportional to 2,579.12, 3,868.95 and 823.70

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Solution

The fourth proportional to 2,579.12, 3,868.95 and 823.70 is: 1,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.12 : 3,868.95 = 823.70 : x
  2. Step 2: Convert to fraction form
    2,579.12/3,868.95 = 823.70/x
  3. Step 3: Cross multiply
    2,579.12x = 3,868.95 × 823.70
  4. Step 4: Simplify right side
    2,579.12x = 3,186,854.12
  5. Step 5: Solve for x
    x = 3,186,854.12/2,579.12
  6. Step 6: Final answer
    x = 1,235.64

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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.