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Finding the Fourth Proportional to 8,192.44, 12,278.25 and 7,133.94

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Solution

The fourth proportional to 8,192.44, 12,278.25 and 7,133.94 is: 10,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.44 : 12,278.25 = 7,133.94 : x
  2. Step 2: Convert to fraction form
    8,192.44/12,278.25 = 7,133.94/x
  3. Step 3: Cross multiply
    8,192.44x = 12,278.25 × 7,133.94
  4. Step 4: Simplify right side
    8,192.44x = 87,592,298.81
  5. Step 5: Solve for x
    x = 87,592,298.81/8,192.44
  6. Step 6: Final answer
    x = 10,691.84

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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.