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Finding the Fourth Proportional to 20,305.35, 30,458.93 and 7,157.84

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Solution

The fourth proportional to 20,305.35, 30,458.93 and 7,157.84 is: 10,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,305.35 : 30,458.93 = 7,157.84 : x
  2. Step 2: Convert to fraction form
    20,305.35/30,458.93 = 7,157.84/x
  3. Step 3: Cross multiply
    20,305.35x = 30,458.93 × 7,157.84
  4. Step 4: Simplify right side
    20,305.35x = 218,019,959.43
  5. Step 5: Solve for x
    x = 218,019,959.43/20,305.35
  6. Step 6: Final answer
    x = 10,737.07

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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.