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Finding the Fourth Proportional to 2,864.12, 3,952.49 and 1,868.81

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Solution

The fourth proportional to 2,864.12, 3,952.49 and 1,868.81 is: 2,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.12 : 3,952.49 = 1,868.81 : x
  2. Step 2: Convert to fraction form
    2,864.12/3,952.49 = 1,868.81/x
  3. Step 3: Cross multiply
    2,864.12x = 3,952.49 × 1,868.81
  4. Step 4: Simplify right side
    2,864.12x = 7,386,423.73
  5. Step 5: Solve for x
    x = 7,386,423.73/2,864.12
  6. Step 6: Final answer
    x = 2,578.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.