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Finding the Fourth Proportional to 7,091.56, 9,784.14 and 3,947.20

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Solution

The fourth proportional to 7,091.56, 9,784.14 and 3,947.20 is: 5,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.56 : 9,784.14 = 3,947.20 : x
  2. Step 2: Convert to fraction form
    7,091.56/9,784.14 = 3,947.20/x
  3. Step 3: Cross multiply
    7,091.56x = 9,784.14 × 3,947.20
  4. Step 4: Simplify right side
    7,091.56x = 38,619,957.41
  5. Step 5: Solve for x
    x = 38,619,957.41/7,091.56
  6. Step 6: Final answer
    x = 5,445.90

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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.