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Finding the Fourth Proportional to 8,213.11, 11,315.42 and 7,659.07

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Solution

The fourth proportional to 8,213.11, 11,315.42 and 7,659.07 is: 10,552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.11 : 11,315.42 = 7,659.07 : x
  2. Step 2: Convert to fraction form
    8,213.11/11,315.42 = 7,659.07/x
  3. Step 3: Cross multiply
    8,213.11x = 11,315.42 × 7,659.07
  4. Step 4: Simplify right side
    8,213.11x = 86,665,593.86
  5. Step 5: Solve for x
    x = 86,665,593.86/8,213.11
  6. Step 6: Final answer
    x = 10,552.10

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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.