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Finding the Fourth Proportional to 20,320.48, 30,471 and 8,627.32

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Solution

The fourth proportional to 20,320.48, 30,471 and 8,627.32 is: 12,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,320.48 : 30,471 = 8,627.32 : x
  2. Step 2: Convert to fraction form
    20,320.48/30,471 = 8,627.32/x
  3. Step 3: Cross multiply
    20,320.48x = 30,471 × 8,627.32
  4. Step 4: Simplify right side
    20,320.48x = 262,883,067.72
  5. Step 5: Solve for x
    x = 262,883,067.72/20,320.48
  6. Step 6: Final answer
    x = 12,936.85

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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.