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Finding the Fourth Proportional to 9,412.97, 12,990 and 5,878.23

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Solution

The fourth proportional to 9,412.97, 12,990 and 5,878.23 is: 8,112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.97 : 12,990 = 5,878.23 : x
  2. Step 2: Convert to fraction form
    9,412.97/12,990 = 5,878.23/x
  3. Step 3: Cross multiply
    9,412.97x = 12,990 × 5,878.23
  4. Step 4: Simplify right side
    9,412.97x = 76,358,207.70
  5. Step 5: Solve for x
    x = 76,358,207.70/9,412.97
  6. Step 6: Final answer
    x = 8,112.03

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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.