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Finding the Fourth Proportional to 22,012.60, 32,975.70 and 13,221.40

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Solution

The fourth proportional to 22,012.60, 32,975.70 and 13,221.40 is: 19,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,012.60 : 32,975.70 = 13,221.40 : x
  2. Step 2: Convert to fraction form
    22,012.60/32,975.70 = 13,221.40/x
  3. Step 3: Cross multiply
    22,012.60x = 32,975.70 × 13,221.40
  4. Step 4: Simplify right side
    22,012.60x = 435,984,919.98
  5. Step 5: Solve for x
    x = 435,984,919.98/22,012.60
  6. Step 6: Final answer
    x = 19,806.15

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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.