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Finding the Fourth Proportional to 20,765.42, 28,651.90 and 13,209

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Solution

The fourth proportional to 20,765.42, 28,651.90 and 13,209 is: 18,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.42 : 28,651.90 = 13,209 : x
  2. Step 2: Convert to fraction form
    20,765.42/28,651.90 = 13,209/x
  3. Step 3: Cross multiply
    20,765.42x = 28,651.90 × 13,209
  4. Step 4: Simplify right side
    20,765.42x = 378,462,947.10
  5. Step 5: Solve for x
    x = 378,462,947.10/20,765.42
  6. Step 6: Final answer
    x = 18,225.63

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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.