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Finding the Fourth Proportional to 8,199, 11,314.80 and 4,660.92

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Solution

The fourth proportional to 8,199, 11,314.80 and 4,660.92 is: 6,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199 : 11,314.80 = 4,660.92 : x
  2. Step 2: Convert to fraction form
    8,199/11,314.80 = 4,660.92/x
  3. Step 3: Cross multiply
    8,199x = 11,314.80 × 4,660.92
  4. Step 4: Simplify right side
    8,199x = 52,737,377.62
  5. Step 5: Solve for x
    x = 52,737,377.62/8,199
  6. Step 6: Final answer
    x = 6,432.17

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1.5x scale

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.