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Finding the Fourth Proportional to 20,419.84, 30,627.84 and 8,742.40

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Solution

The fourth proportional to 20,419.84, 30,627.84 and 8,742.40 is: 13,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419.84 : 30,627.84 = 8,742.40 : x
  2. Step 2: Convert to fraction form
    20,419.84/30,627.84 = 8,742.40/x
  3. Step 3: Cross multiply
    20,419.84x = 30,627.84 × 8,742.40
  4. Step 4: Simplify right side
    20,419.84x = 267,760,828.42
  5. Step 5: Solve for x
    x = 267,760,828.42/20,419.84
  6. Step 6: Final answer
    x = 13,112.78

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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.