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Finding the Fourth Proportional to 20,409.92, 30,619.38 and 12,097.52

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Solution

The fourth proportional to 20,409.92, 30,619.38 and 12,097.52 is: 18,148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409.92 : 30,619.38 = 12,097.52 : x
  2. Step 2: Convert to fraction form
    20,409.92/30,619.38 = 12,097.52/x
  3. Step 3: Cross multiply
    20,409.92x = 30,619.38 × 12,097.52
  4. Step 4: Simplify right side
    20,409.92x = 370,418,561.94
  5. Step 5: Solve for x
    x = 370,418,561.94/20,409.92
  6. Step 6: Final answer
    x = 18,148.95

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1.5x scale

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.