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Finding the Fourth Proportional to 8,191.67, 12,287.79 and 2,645.10

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Solution

The fourth proportional to 8,191.67, 12,287.79 and 2,645.10 is: 3,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.67 : 12,287.79 = 2,645.10 : x
  2. Step 2: Convert to fraction form
    8,191.67/12,287.79 = 2,645.10/x
  3. Step 3: Cross multiply
    8,191.67x = 12,287.79 × 2,645.10
  4. Step 4: Simplify right side
    8,191.67x = 32,502,433.33
  5. Step 5: Solve for x
    x = 32,502,433.33/8,191.67
  6. Step 6: Final answer
    x = 3,967.74

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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.