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Finding the Fourth Proportional to 9,421.38, 12,996 and 5,878.44

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Solution

The fourth proportional to 9,421.38, 12,996 and 5,878.44 is: 8,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.38 : 12,996 = 5,878.44 : x
  2. Step 2: Convert to fraction form
    9,421.38/12,996 = 5,878.44/x
  3. Step 3: Cross multiply
    9,421.38x = 12,996 × 5,878.44
  4. Step 4: Simplify right side
    9,421.38x = 76,396,206.24
  5. Step 5: Solve for x
    x = 76,396,206.24/9,421.38
  6. Step 6: Final answer
    x = 8,108.81

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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.