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Finding the Fourth Proportional to 8,287.82, 12,432.98 and 2,741.76

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Solution

The fourth proportional to 8,287.82, 12,432.98 and 2,741.76 is: 4,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.82 : 12,432.98 = 2,741.76 : x
  2. Step 2: Convert to fraction form
    8,287.82/12,432.98 = 2,741.76/x
  3. Step 3: Cross multiply
    8,287.82x = 12,432.98 × 2,741.76
  4. Step 4: Simplify right side
    8,287.82x = 34,088,247.24
  5. Step 5: Solve for x
    x = 34,088,247.24/8,287.82
  6. Step 6: Final answer
    x = 4,113.05

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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.