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Finding the Fourth Proportional to 20,582.20, 30,862.37 and 8,101.72

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Solution

The fourth proportional to 20,582.20, 30,862.37 and 8,101.72 is: 12,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.20 : 30,862.37 = 8,101.72 : x
  2. Step 2: Convert to fraction form
    20,582.20/30,862.37 = 8,101.72/x
  3. Step 3: Cross multiply
    20,582.20x = 30,862.37 × 8,101.72
  4. Step 4: Simplify right side
    20,582.20x = 250,038,293.54
  5. Step 5: Solve for x
    x = 250,038,293.54/20,582.20
  6. Step 6: Final answer
    x = 12,148.28

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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.