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Finding the Fourth Proportional to 15,193.92, 20,961.20 and 9,223.28

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Solution

The fourth proportional to 15,193.92, 20,961.20 and 9,223.28 is: 12,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193.92 : 20,961.20 = 9,223.28 : x
  2. Step 2: Convert to fraction form
    15,193.92/20,961.20 = 9,223.28/x
  3. Step 3: Cross multiply
    15,193.92x = 20,961.20 × 9,223.28
  4. Step 4: Simplify right side
    15,193.92x = 193,331,016.74
  5. Step 5: Solve for x
    x = 193,331,016.74/15,193.92
  6. Step 6: Final answer
    x = 12,724.24

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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.