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Finding the Fourth Proportional to 9,744.20, 13,449.94 and 8,432

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Solution

The fourth proportional to 9,744.20, 13,449.94 and 8,432 is: 11,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.20 : 13,449.94 = 8,432 : x
  2. Step 2: Convert to fraction form
    9,744.20/13,449.94 = 8,432/x
  3. Step 3: Cross multiply
    9,744.20x = 13,449.94 × 8,432
  4. Step 4: Simplify right side
    9,744.20x = 113,409,894.08
  5. Step 5: Solve for x
    x = 113,409,894.08/9,744.20
  6. Step 6: Final answer
    x = 11,638.71

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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.