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Finding the Fourth Proportional to 7,871.70, 11,793.92 and 5,527.26

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Solution

The fourth proportional to 7,871.70, 11,793.92 and 5,527.26 is: 8,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.70 : 11,793.92 = 5,527.26 : x
  2. Step 2: Convert to fraction form
    7,871.70/11,793.92 = 5,527.26/x
  3. Step 3: Cross multiply
    7,871.70x = 11,793.92 × 5,527.26
  4. Step 4: Simplify right side
    7,871.70x = 65,188,062.26
  5. Step 5: Solve for x
    x = 65,188,062.26/7,871.70
  6. Step 6: Final answer
    x = 8,281.32

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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.