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Finding the Fourth Proportional to 8,923.80, 13,375.98 and 6,318.84

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Solution

The fourth proportional to 8,923.80, 13,375.98 and 6,318.84 is: 9,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.80 : 13,375.98 = 6,318.84 : x
  2. Step 2: Convert to fraction form
    8,923.80/13,375.98 = 6,318.84/x
  3. Step 3: Cross multiply
    8,923.80x = 13,375.98 × 6,318.84
  4. Step 4: Simplify right side
    8,923.80x = 84,520,677.46
  5. Step 5: Solve for x
    x = 84,520,677.46/8,923.80
  6. Step 6: Final answer
    x = 9,471.38

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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.