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Finding the Fourth Proportional to 8,274, 11,418.12 and 5,479.50

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Solution

The fourth proportional to 8,274, 11,418.12 and 5,479.50 is: 7,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274 : 11,418.12 = 5,479.50 : x
  2. Step 2: Convert to fraction form
    8,274/11,418.12 = 5,479.50/x
  3. Step 3: Cross multiply
    8,274x = 11,418.12 × 5,479.50
  4. Step 4: Simplify right side
    8,274x = 62,565,588.54
  5. Step 5: Solve for x
    x = 62,565,588.54/8,274
  6. Step 6: Final answer
    x = 7,561.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.