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Finding the Fourth Proportional to 7,243.38, 9,991.31 and 4,408.74

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Solution

The fourth proportional to 7,243.38, 9,991.31 and 4,408.74 is: 6,081.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.38 : 9,991.31 = 4,408.74 : x
  2. Step 2: Convert to fraction form
    7,243.38/9,991.31 = 4,408.74/x
  3. Step 3: Cross multiply
    7,243.38x = 9,991.31 × 4,408.74
  4. Step 4: Simplify right side
    7,243.38x = 44,049,066.01
  5. Step 5: Solve for x
    x = 44,049,066.01/7,243.38
  6. Step 6: Final answer
    x = 6,081.29

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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.