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Finding the Fourth Proportional to 11,193.78, 15,447.09 and 6,158.00

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Solution

The fourth proportional to 11,193.78, 15,447.09 and 6,158.00 is: 8,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.78 : 15,447.09 = 6,158.00 : x
  2. Step 2: Convert to fraction form
    11,193.78/15,447.09 = 6,158.00/x
  3. Step 3: Cross multiply
    11,193.78x = 15,447.09 × 6,158.00
  4. Step 4: Simplify right side
    11,193.78x = 95,123,102.98
  5. Step 5: Solve for x
    x = 95,123,102.98/11,193.78
  6. Step 6: Final answer
    x = 8,497.85

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1.5x scale

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.