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Finding the Fourth Proportional to 13,409.60, 20,024.10 and 10,949.22

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Solution

The fourth proportional to 13,409.60, 20,024.10 and 10,949.22 is: 16,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.60 : 20,024.10 = 10,949.22 : x
  2. Step 2: Convert to fraction form
    13,409.60/20,024.10 = 10,949.22/x
  3. Step 3: Cross multiply
    13,409.60x = 20,024.10 × 10,949.22
  4. Step 4: Simplify right side
    13,409.60x = 219,248,276.20
  5. Step 5: Solve for x
    x = 219,248,276.20/13,409.60
  6. Step 6: Final answer
    x = 16,350.10

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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.