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Finding the Fourth Proportional to 7,872, 10,862.42 and 4,514.64

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Solution

The fourth proportional to 7,872, 10,862.42 and 4,514.64 is: 6,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872 : 10,862.42 = 4,514.64 : x
  2. Step 2: Convert to fraction form
    7,872/10,862.42 = 4,514.64/x
  3. Step 3: Cross multiply
    7,872x = 10,862.42 × 4,514.64
  4. Step 4: Simplify right side
    7,872x = 49,039,893.26
  5. Step 5: Solve for x
    x = 49,039,893.26/7,872
  6. Step 6: Final answer
    x = 6,229.66

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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.