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Finding the Fourth Proportional to 13,409.76, 20,037.75 and 10,229.76

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Solution

The fourth proportional to 13,409.76, 20,037.75 and 10,229.76 is: 15,285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.76 : 20,037.75 = 10,229.76 : x
  2. Step 2: Convert to fraction form
    13,409.76/20,037.75 = 10,229.76/x
  3. Step 3: Cross multiply
    13,409.76x = 20,037.75 × 10,229.76
  4. Step 4: Simplify right side
    13,409.76x = 204,981,373.44
  5. Step 5: Solve for x
    x = 204,981,373.44/13,409.76
  6. Step 6: Final answer
    x = 15,285.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.