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Finding the Fourth Proportional to 20,308.70, 30,462.85 and 15,408.41

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Solution

The fourth proportional to 20,308.70, 30,462.85 and 15,408.41 is: 23,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,308.70 : 30,462.85 = 15,408.41 : x
  2. Step 2: Convert to fraction form
    20,308.70/30,462.85 = 15,408.41/x
  3. Step 3: Cross multiply
    20,308.70x = 30,462.85 × 15,408.41
  4. Step 4: Simplify right side
    20,308.70x = 469,383,949.51
  5. Step 5: Solve for x
    x = 469,383,949.51/20,308.70
  6. Step 6: Final answer
    x = 23,112.45

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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.