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Finding the Fourth Proportional to 9,171.54, 13,753.05 and 4,491.78

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Solution

The fourth proportional to 9,171.54, 13,753.05 and 4,491.78 is: 6,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.54 : 13,753.05 = 4,491.78 : x
  2. Step 2: Convert to fraction form
    9,171.54/13,753.05 = 4,491.78/x
  3. Step 3: Cross multiply
    9,171.54x = 13,753.05 × 4,491.78
  4. Step 4: Simplify right side
    9,171.54x = 61,775,674.93
  5. Step 5: Solve for x
    x = 61,775,674.93/9,171.54
  6. Step 6: Final answer
    x = 6,735.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.