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Finding the Fourth Proportional to 20,216.98, 30,304.68 and 7,734.07

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Solution

The fourth proportional to 20,216.98, 30,304.68 and 7,734.07 is: 11,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216.98 : 30,304.68 = 7,734.07 : x
  2. Step 2: Convert to fraction form
    20,216.98/30,304.68 = 7,734.07/x
  3. Step 3: Cross multiply
    20,216.98x = 30,304.68 × 7,734.07
  4. Step 4: Simplify right side
    20,216.98x = 234,378,516.45
  5. Step 5: Solve for x
    x = 234,378,516.45/20,216.98
  6. Step 6: Final answer
    x = 11,593.15

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1.5x scale

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.