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Finding the Fourth Proportional to 20,501.63, 30,751.89 and 5,709.95

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Solution

The fourth proportional to 20,501.63, 30,751.89 and 5,709.95 is: 8,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,501.63 : 30,751.89 = 5,709.95 : x
  2. Step 2: Convert to fraction form
    20,501.63/30,751.89 = 5,709.95/x
  3. Step 3: Cross multiply
    20,501.63x = 30,751.89 × 5,709.95
  4. Step 4: Simplify right side
    20,501.63x = 175,591,600.55
  5. Step 5: Solve for x
    x = 175,591,600.55/20,501.63
  6. Step 6: Final answer
    x = 8,564.77

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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.