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Finding the Fourth Proportional to 10,452.38, 14,431.12 and 6,479.34

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Solution

The fourth proportional to 10,452.38, 14,431.12 and 6,479.34 is: 8,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.38 : 14,431.12 = 6,479.34 : x
  2. Step 2: Convert to fraction form
    10,452.38/14,431.12 = 6,479.34/x
  3. Step 3: Cross multiply
    10,452.38x = 14,431.12 × 6,479.34
  4. Step 4: Simplify right side
    10,452.38x = 93,504,133.06
  5. Step 5: Solve for x
    x = 93,504,133.06/10,452.38
  6. Step 6: Final answer
    x = 8,945.73

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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.