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Finding the Fourth Proportional to 7,878, 10,872.72 and 4,566

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Solution

The fourth proportional to 7,878, 10,872.72 and 4,566 is: 6,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878 : 10,872.72 = 4,566 : x
  2. Step 2: Convert to fraction form
    7,878/10,872.72 = 4,566/x
  3. Step 3: Cross multiply
    7,878x = 10,872.72 × 4,566
  4. Step 4: Simplify right side
    7,878x = 49,644,839.52
  5. Step 5: Solve for x
    x = 49,644,839.52/7,878
  6. Step 6: Final answer
    x = 6,301.71

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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.