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Finding the Fourth Proportional to 20,544.71, 30,819.95 and 6,503.25

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Solution

The fourth proportional to 20,544.71, 30,819.95 and 6,503.25 is: 9,755.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544.71 : 30,819.95 = 6,503.25 : x
  2. Step 2: Convert to fraction form
    20,544.71/30,819.95 = 6,503.25/x
  3. Step 3: Cross multiply
    20,544.71x = 30,819.95 × 6,503.25
  4. Step 4: Simplify right side
    20,544.71x = 200,429,807.32
  5. Step 5: Solve for x
    x = 200,429,807.32/20,544.71
  6. Step 6: Final answer
    x = 9,755.79

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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.