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Finding the Fourth Proportional to 8,419.65, 12,629.33 and 2,876.87

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Solution

The fourth proportional to 8,419.65, 12,629.33 and 2,876.87 is: 4,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.65 : 12,629.33 = 2,876.87 : x
  2. Step 2: Convert to fraction form
    8,419.65/12,629.33 = 2,876.87/x
  3. Step 3: Cross multiply
    8,419.65x = 12,629.33 × 2,876.87
  4. Step 4: Simplify right side
    8,419.65x = 36,332,863.07
  5. Step 5: Solve for x
    x = 36,332,863.07/8,419.65
  6. Step 6: Final answer
    x = 4,315.25

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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.