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Finding the Fourth Proportional to 9,311.56, 12,841.13 and 5,955.42

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Solution

The fourth proportional to 9,311.56, 12,841.13 and 5,955.42 is: 8,212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.56 : 12,841.13 = 5,955.42 : x
  2. Step 2: Convert to fraction form
    9,311.56/12,841.13 = 5,955.42/x
  3. Step 3: Cross multiply
    9,311.56x = 12,841.13 × 5,955.42
  4. Step 4: Simplify right side
    9,311.56x = 76,474,385.47
  5. Step 5: Solve for x
    x = 76,474,385.47/9,311.56
  6. Step 6: Final answer
    x = 8,212.85

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Double scale
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1.5x scale

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.