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Finding the Fourth Proportional to 9,230.40, 13,847.40 and 3,965.40

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Solution

The fourth proportional to 9,230.40, 13,847.40 and 3,965.40 is: 5,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.40 : 13,847.40 = 3,965.40 : x
  2. Step 2: Convert to fraction form
    9,230.40/13,847.40 = 3,965.40/x
  3. Step 3: Cross multiply
    9,230.40x = 13,847.40 × 3,965.40
  4. Step 4: Simplify right side
    9,230.40x = 54,910,479.96
  5. Step 5: Solve for x
    x = 54,910,479.96/9,230.40
  6. Step 6: Final answer
    x = 5,948.87

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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.