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Finding the Fourth Proportional to 9,231.21, 12,747.92 and 7,341.89

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Solution

The fourth proportional to 9,231.21, 12,747.92 and 7,341.89 is: 10,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.21 : 12,747.92 = 7,341.89 : x
  2. Step 2: Convert to fraction form
    9,231.21/12,747.92 = 7,341.89/x
  3. Step 3: Cross multiply
    9,231.21x = 12,747.92 × 7,341.89
  4. Step 4: Simplify right side
    9,231.21x = 93,593,725.92
  5. Step 5: Solve for x
    x = 93,593,725.92/9,231.21
  6. Step 6: Final answer
    x = 10,138.84

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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.