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Finding the Fourth Proportional to 8,317.42, 12,471.98 and 2,768.84

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Solution

The fourth proportional to 8,317.42, 12,471.98 and 2,768.84 is: 4,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.42 : 12,471.98 = 2,768.84 : x
  2. Step 2: Convert to fraction form
    8,317.42/12,471.98 = 2,768.84/x
  3. Step 3: Cross multiply
    8,317.42x = 12,471.98 × 2,768.84
  4. Step 4: Simplify right side
    8,317.42x = 34,532,917.10
  5. Step 5: Solve for x
    x = 34,532,917.10/8,317.42
  6. Step 6: Final answer
    x = 4,151.88

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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.