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Finding the Fourth Proportional to 9,171.73, 12,656.60 and 5,138.95

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Solution

The fourth proportional to 9,171.73, 12,656.60 and 5,138.95 is: 7,091.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.73 : 12,656.60 = 5,138.95 : x
  2. Step 2: Convert to fraction form
    9,171.73/12,656.60 = 5,138.95/x
  3. Step 3: Cross multiply
    9,171.73x = 12,656.60 × 5,138.95
  4. Step 4: Simplify right side
    9,171.73x = 65,041,634.57
  5. Step 5: Solve for x
    x = 65,041,634.57/9,171.73
  6. Step 6: Final answer
    x = 7,091.53

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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.