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Finding the Fourth Proportional to 20,768.74, 31,157.19 and 7,621.22

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Solution

The fourth proportional to 20,768.74, 31,157.19 and 7,621.22 is: 11,433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768.74 : 31,157.19 = 7,621.22 : x
  2. Step 2: Convert to fraction form
    20,768.74/31,157.19 = 7,621.22/x
  3. Step 3: Cross multiply
    20,768.74x = 31,157.19 × 7,621.22
  4. Step 4: Simplify right side
    20,768.74x = 237,455,877.46
  5. Step 5: Solve for x
    x = 237,455,877.46/20,768.74
  6. Step 6: Final answer
    x = 11,433.33

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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.