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Finding the Fourth Proportional to 7,872.72, 10,865.22 and 4,515.72

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Solution

The fourth proportional to 7,872.72, 10,865.22 and 4,515.72 is: 6,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.72 : 10,865.22 = 4,515.72 : x
  2. Step 2: Convert to fraction form
    7,872.72/10,865.22 = 4,515.72/x
  3. Step 3: Cross multiply
    7,872.72x = 10,865.22 × 4,515.72
  4. Step 4: Simplify right side
    7,872.72x = 49,064,291.26
  5. Step 5: Solve for x
    x = 49,064,291.26/7,872.72
  6. Step 6: Final answer
    x = 6,232.19

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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.