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Finding the Fourth Proportional to 20,338.80, 30,521.16 and 8,652

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Solution

The fourth proportional to 20,338.80, 30,521.16 and 8,652 is: 12,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,338.80 : 30,521.16 = 8,652 : x
  2. Step 2: Convert to fraction form
    20,338.80/30,521.16 = 8,652/x
  3. Step 3: Cross multiply
    20,338.80x = 30,521.16 × 8,652
  4. Step 4: Simplify right side
    20,338.80x = 264,069,076.32
  5. Step 5: Solve for x
    x = 264,069,076.32/20,338.80
  6. Step 6: Final answer
    x = 12,983.51

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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.