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Finding the Fourth Proportional to 20,568.80, 30,842.40 and 7,419.20

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Solution

The fourth proportional to 20,568.80, 30,842.40 and 7,419.20 is: 11,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568.80 : 30,842.40 = 7,419.20 : x
  2. Step 2: Convert to fraction form
    20,568.80/30,842.40 = 7,419.20/x
  3. Step 3: Cross multiply
    20,568.80x = 30,842.40 × 7,419.20
  4. Step 4: Simplify right side
    20,568.80x = 228,825,934.08
  5. Step 5: Solve for x
    x = 228,825,934.08/20,568.80
  6. Step 6: Final answer
    x = 11,124.90

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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.