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Finding the Fourth Proportional to 7,872.22, 10,872.90 and 5,215

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Solution

The fourth proportional to 7,872.22, 10,872.90 and 5,215 is: 7,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.22 : 10,872.90 = 5,215 : x
  2. Step 2: Convert to fraction form
    7,872.22/10,872.90 = 5,215/x
  3. Step 3: Cross multiply
    7,872.22x = 10,872.90 × 5,215
  4. Step 4: Simplify right side
    7,872.22x = 56,702,173.50
  5. Step 5: Solve for x
    x = 56,702,173.50/7,872.22
  6. Step 6: Final answer
    x = 7,202.82

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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.