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Finding the Fourth Proportional to 11,177.67, 15,425.10 and 6,209.67

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Solution

The fourth proportional to 11,177.67, 15,425.10 and 6,209.67 is: 8,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.67 : 15,425.10 = 6,209.67 : x
  2. Step 2: Convert to fraction form
    11,177.67/15,425.10 = 6,209.67/x
  3. Step 3: Cross multiply
    11,177.67x = 15,425.10 × 6,209.67
  4. Step 4: Simplify right side
    11,177.67x = 95,784,780.72
  5. Step 5: Solve for x
    x = 95,784,780.72/11,177.67
  6. Step 6: Final answer
    x = 8,569.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.