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Finding the Fourth Proportional to 22,011.60, 32,974.20 and 13,220.40

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Solution

The fourth proportional to 22,011.60, 32,974.20 and 13,220.40 is: 19,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,011.60 : 32,974.20 = 13,220.40 : x
  2. Step 2: Convert to fraction form
    22,011.60/32,974.20 = 13,220.40/x
  3. Step 3: Cross multiply
    22,011.60x = 32,974.20 × 13,220.40
  4. Step 4: Simplify right side
    22,011.60x = 435,932,113.68
  5. Step 5: Solve for x
    x = 435,932,113.68/22,011.60
  6. Step 6: Final answer
    x = 19,804.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.