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Finding the Fourth Proportional to 20,578.48, 30,869.08 and 8,097.52

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Solution

The fourth proportional to 20,578.48, 30,869.08 and 8,097.52 is: 12,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.48 : 30,869.08 = 8,097.52 : x
  2. Step 2: Convert to fraction form
    20,578.48/30,869.08 = 8,097.52/x
  3. Step 3: Cross multiply
    20,578.48x = 30,869.08 × 8,097.52
  4. Step 4: Simplify right side
    20,578.48x = 249,962,992.68
  5. Step 5: Solve for x
    x = 249,962,992.68/20,578.48
  6. Step 6: Final answer
    x = 12,146.82

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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.