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Finding the Fourth Proportional to 13,409.87, 20,024.46 and 10,949.49

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Solution

The fourth proportional to 13,409.87, 20,024.46 and 10,949.49 is: 16,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.87 : 20,024.46 = 10,949.49 : x
  2. Step 2: Convert to fraction form
    13,409.87/20,024.46 = 10,949.49/x
  3. Step 3: Cross multiply
    13,409.87x = 20,024.46 × 10,949.49
  4. Step 4: Simplify right side
    13,409.87x = 219,257,624.53
  5. Step 5: Solve for x
    x = 219,257,624.53/13,409.87
  6. Step 6: Final answer
    x = 16,350.47

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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.