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Finding the Fourth Proportional to 11,115, 15,338.70 and 6,147

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Solution

The fourth proportional to 11,115, 15,338.70 and 6,147 is: 8,482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,115 : 15,338.70 = 6,147 : x
  2. Step 2: Convert to fraction form
    11,115/15,338.70 = 6,147/x
  3. Step 3: Cross multiply
    11,115x = 15,338.70 × 6,147
  4. Step 4: Simplify right side
    11,115x = 94,286,988.90
  5. Step 5: Solve for x
    x = 94,286,988.90/11,115
  6. Step 6: Final answer
    x = 8,482.86

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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.