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Finding the Fourth Proportional to 20,634.83, 30,947.25 and 9,530.84

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Solution

The fourth proportional to 20,634.83, 30,947.25 and 9,530.84 is: 14,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634.83 : 30,947.25 = 9,530.84 : x
  2. Step 2: Convert to fraction form
    20,634.83/30,947.25 = 9,530.84/x
  3. Step 3: Cross multiply
    20,634.83x = 30,947.25 × 9,530.84
  4. Step 4: Simplify right side
    20,634.83x = 294,953,133.45
  5. Step 5: Solve for x
    x = 294,953,133.45/20,634.83
  6. Step 6: Final answer
    x = 14,293.95

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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.