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Finding the Fourth Proportional to 20,518.93, 30,766.11 and 8,024.08

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Solution

The fourth proportional to 20,518.93, 30,766.11 and 8,024.08 is: 12,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,518.93 : 30,766.11 = 8,024.08 : x
  2. Step 2: Convert to fraction form
    20,518.93/30,766.11 = 8,024.08/x
  3. Step 3: Cross multiply
    20,518.93x = 30,766.11 × 8,024.08
  4. Step 4: Simplify right side
    20,518.93x = 246,869,727.93
  5. Step 5: Solve for x
    x = 246,869,727.93/20,518.93
  6. Step 6: Final answer
    x = 12,031.32

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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.