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Finding the Fourth Proportional to 15,091.92, 20,822.62 and 9,432.42

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Solution

The fourth proportional to 15,091.92, 20,822.62 and 9,432.42 is: 13,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,091.92 : 20,822.62 = 9,432.42 : x
  2. Step 2: Convert to fraction form
    15,091.92/20,822.62 = 9,432.42/x
  3. Step 3: Cross multiply
    15,091.92x = 20,822.62 × 9,432.42
  4. Step 4: Simplify right side
    15,091.92x = 196,407,673.76
  5. Step 5: Solve for x
    x = 196,407,673.76/15,091.92
  6. Step 6: Final answer
    x = 13,014.09

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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.