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Finding the Fourth Proportional to 20,069.92, 30,083.76 and 9,659.68

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Solution

The fourth proportional to 20,069.92, 30,083.76 and 9,659.68 is: 14,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,069.92 : 30,083.76 = 9,659.68 : x
  2. Step 2: Convert to fraction form
    20,069.92/30,083.76 = 9,659.68/x
  3. Step 3: Cross multiply
    20,069.92x = 30,083.76 × 9,659.68
  4. Step 4: Simplify right side
    20,069.92x = 290,599,494.80
  5. Step 5: Solve for x
    x = 290,599,494.80/20,069.92
  6. Step 6: Final answer
    x = 14,479.35

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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.