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Finding the Fourth Proportional to 20,305.78, 30,463.85 and 7,822.44

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Solution

The fourth proportional to 20,305.78, 30,463.85 and 7,822.44 is: 11,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,305.78 : 30,463.85 = 7,822.44 : x
  2. Step 2: Convert to fraction form
    20,305.78/30,463.85 = 7,822.44/x
  3. Step 3: Cross multiply
    20,305.78x = 30,463.85 × 7,822.44
  4. Step 4: Simplify right side
    20,305.78x = 238,301,658.35
  5. Step 5: Solve for x
    x = 238,301,658.35/20,305.78
  6. Step 6: Final answer
    x = 11,735.66

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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.