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Finding the Fourth Proportional to 20,143.20, 30,214.80 and 13,922.40

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Solution

The fourth proportional to 20,143.20, 30,214.80 and 13,922.40 is: 20,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.20 : 30,214.80 = 13,922.40 : x
  2. Step 2: Convert to fraction form
    20,143.20/30,214.80 = 13,922.40/x
  3. Step 3: Cross multiply
    20,143.20x = 30,214.80 × 13,922.40
  4. Step 4: Simplify right side
    20,143.20x = 420,662,531.52
  5. Step 5: Solve for x
    x = 420,662,531.52/20,143.20
  6. Step 6: Final answer
    x = 20,883.60

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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.