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Finding the Fourth Proportional to 6,191.76, 9,287.82 and 1,808.76

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Solution

The fourth proportional to 6,191.76, 9,287.82 and 1,808.76 is: 2,713.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.76 : 9,287.82 = 1,808.76 : x
  2. Step 2: Convert to fraction form
    6,191.76/9,287.82 = 1,808.76/x
  3. Step 3: Cross multiply
    6,191.76x = 9,287.82 × 1,808.76
  4. Step 4: Simplify right side
    6,191.76x = 16,799,437.30
  5. Step 5: Solve for x
    x = 16,799,437.30/6,191.76
  6. Step 6: Final answer
    x = 2,713.19

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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.