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Finding the Fourth Proportional to 10,002.80, 13,793.48 and 8,591.16

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Solution

The fourth proportional to 10,002.80, 13,793.48 and 8,591.16 is: 11,846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.80 : 13,793.48 = 8,591.16 : x
  2. Step 2: Convert to fraction form
    10,002.80/13,793.48 = 8,591.16/x
  3. Step 3: Cross multiply
    10,002.80x = 13,793.48 × 8,591.16
  4. Step 4: Simplify right side
    10,002.80x = 118,501,993.64
  5. Step 5: Solve for x
    x = 118,501,993.64/10,002.80
  6. Step 6: Final answer
    x = 11,846.88

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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.