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Finding the Fourth Proportional to 2,868.81, 4,299.76 and 2,491.66

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Solution

The fourth proportional to 2,868.81, 4,299.76 and 2,491.66 is: 3,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.81 : 4,299.76 = 2,491.66 : x
  2. Step 2: Convert to fraction form
    2,868.81/4,299.76 = 2,491.66/x
  3. Step 3: Cross multiply
    2,868.81x = 4,299.76 × 2,491.66
  4. Step 4: Simplify right side
    2,868.81x = 10,713,506.04
  5. Step 5: Solve for x
    x = 10,713,506.04/2,868.81
  6. Step 6: Final answer
    x = 3,734.48

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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.