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Finding the Fourth Proportional to 11,086, 15,298.70 and 6,118

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Solution

The fourth proportional to 11,086, 15,298.70 and 6,118 is: 8,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,086 : 15,298.70 = 6,118 : x
  2. Step 2: Convert to fraction form
    11,086/15,298.70 = 6,118/x
  3. Step 3: Cross multiply
    11,086x = 15,298.70 × 6,118
  4. Step 4: Simplify right side
    11,086x = 93,597,446.60
  5. Step 5: Solve for x
    x = 93,597,446.60/11,086
  6. Step 6: Final answer
    x = 8,442.85

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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.