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Finding the Fourth Proportional to 20,408, 28,155.80 and 13,338.50

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Solution

The fourth proportional to 20,408, 28,155.80 and 13,338.50 is: 18,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408 : 28,155.80 = 13,338.50 : x
  2. Step 2: Convert to fraction form
    20,408/28,155.80 = 13,338.50/x
  3. Step 3: Cross multiply
    20,408x = 28,155.80 × 13,338.50
  4. Step 4: Simplify right side
    20,408x = 375,556,138.30
  5. Step 5: Solve for x
    x = 375,556,138.30/20,408
  6. Step 6: Final answer
    x = 18,402.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.