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Finding the Fourth Proportional to 7,471.22, 11,211.56 and 6,769.86

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Solution

The fourth proportional to 7,471.22, 11,211.56 and 6,769.86 is: 10,159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.22 : 11,211.56 = 6,769.86 : x
  2. Step 2: Convert to fraction form
    7,471.22/11,211.56 = 6,769.86/x
  3. Step 3: Cross multiply
    7,471.22x = 11,211.56 × 6,769.86
  4. Step 4: Simplify right side
    7,471.22x = 75,900,641.08
  5. Step 5: Solve for x
    x = 75,900,641.08/7,471.22
  6. Step 6: Final answer
    x = 10,159.08

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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.