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Finding the Fourth Proportional to 20,436.83, 30,655.21 and 5,645.71

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Solution

The fourth proportional to 20,436.83, 30,655.21 and 5,645.71 is: 8,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,436.83 : 30,655.21 = 5,645.71 : x
  2. Step 2: Convert to fraction form
    20,436.83/30,655.21 = 5,645.71/x
  3. Step 3: Cross multiply
    20,436.83x = 30,655.21 × 5,645.71
  4. Step 4: Simplify right side
    20,436.83x = 173,070,425.65
  5. Step 5: Solve for x
    x = 173,070,425.65/20,436.83
  6. Step 6: Final answer
    x = 8,468.56

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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.