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Finding the Fourth Proportional to 22,650.78, 33,985.68 and 11,400.12

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Solution

The fourth proportional to 22,650.78, 33,985.68 and 11,400.12 is: 17,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,650.78 : 33,985.68 = 11,400.12 : x
  2. Step 2: Convert to fraction form
    22,650.78/33,985.68 = 11,400.12/x
  3. Step 3: Cross multiply
    22,650.78x = 33,985.68 × 11,400.12
  4. Step 4: Simplify right side
    22,650.78x = 387,440,830.28
  5. Step 5: Solve for x
    x = 387,440,830.28/22,650.78
  6. Step 6: Final answer
    x = 17,104.97

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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.