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Finding the Fourth Proportional to 10,872.78, 15,004 and 6,156.78

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Solution

The fourth proportional to 10,872.78, 15,004 and 6,156.78 is: 8,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.78 : 15,004 = 6,156.78 : x
  2. Step 2: Convert to fraction form
    10,872.78/15,004 = 6,156.78/x
  3. Step 3: Cross multiply
    10,872.78x = 15,004 × 6,156.78
  4. Step 4: Simplify right side
    10,872.78x = 92,376,327.12
  5. Step 5: Solve for x
    x = 92,376,327.12/10,872.78
  6. Step 6: Final answer
    x = 8,496.11

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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.