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Finding the Fourth Proportional to 11,156, 15,395.28 and 6,188.96

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Solution

The fourth proportional to 11,156, 15,395.28 and 6,188.96 is: 8,540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,156 : 15,395.28 = 6,188.96 : x
  2. Step 2: Convert to fraction form
    11,156/15,395.28 = 6,188.96/x
  3. Step 3: Cross multiply
    11,156x = 15,395.28 × 6,188.96
  4. Step 4: Simplify right side
    11,156x = 95,280,772.11
  5. Step 5: Solve for x
    x = 95,280,772.11/11,156
  6. Step 6: Final answer
    x = 8,540.76

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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.