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Finding the Fourth Proportional to 8,578.32, 12,872.42 and 4,629.57

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Solution

The fourth proportional to 8,578.32, 12,872.42 and 4,629.57 is: 6,947.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.32 : 12,872.42 = 4,629.57 : x
  2. Step 2: Convert to fraction form
    8,578.32/12,872.42 = 4,629.57/x
  3. Step 3: Cross multiply
    8,578.32x = 12,872.42 × 4,629.57
  4. Step 4: Simplify right side
    8,578.32x = 59,593,769.46
  5. Step 5: Solve for x
    x = 59,593,769.46/8,578.32
  6. Step 6: Final answer
    x = 6,947.02

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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.