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Finding the Fourth Proportional to 7,091.76, 9,785.21 and 3,947.34

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Solution

The fourth proportional to 7,091.76, 9,785.21 and 3,947.34 is: 5,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.76 : 9,785.21 = 3,947.34 : x
  2. Step 2: Convert to fraction form
    7,091.76/9,785.21 = 3,947.34/x
  3. Step 3: Cross multiply
    7,091.76x = 9,785.21 × 3,947.34
  4. Step 4: Simplify right side
    7,091.76x = 38,625,550.84
  5. Step 5: Solve for x
    x = 38,625,550.84/7,091.76
  6. Step 6: Final answer
    x = 5,446.54

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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.