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Finding the Fourth Proportional to 20,230.78, 30,333.02 and 9,700.52

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Solution

The fourth proportional to 20,230.78, 30,333.02 and 9,700.52 is: 14,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,230.78 : 30,333.02 = 9,700.52 : x
  2. Step 2: Convert to fraction form
    20,230.78/30,333.02 = 9,700.52/x
  3. Step 3: Cross multiply
    20,230.78x = 30,333.02 × 9,700.52
  4. Step 4: Simplify right side
    20,230.78x = 294,246,067.17
  5. Step 5: Solve for x
    x = 294,246,067.17/20,230.78
  6. Step 6: Final answer
    x = 14,544.47

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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.