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Finding the Fourth Proportional to 20,308.20, 30,419.10 and 16,420.20

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Solution

The fourth proportional to 20,308.20, 30,419.10 and 16,420.20 is: 24,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,308.20 : 30,419.10 = 16,420.20 : x
  2. Step 2: Convert to fraction form
    20,308.20/30,419.10 = 16,420.20/x
  3. Step 3: Cross multiply
    20,308.20x = 30,419.10 × 16,420.20
  4. Step 4: Simplify right side
    20,308.20x = 499,487,705.82
  5. Step 5: Solve for x
    x = 499,487,705.82/20,308.20
  6. Step 6: Final answer
    x = 24,595.37

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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.