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Finding the Fourth Proportional to 26,001.39, 38,978.16 and 14,137.83

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Solution

The fourth proportional to 26,001.39, 38,978.16 and 14,137.83 is: 21,193.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,001.39 : 38,978.16 = 14,137.83 : x
  2. Step 2: Convert to fraction form
    26,001.39/38,978.16 = 14,137.83/x
  3. Step 3: Cross multiply
    26,001.39x = 38,978.16 × 14,137.83
  4. Step 4: Simplify right side
    26,001.39x = 551,066,546.78
  5. Step 5: Solve for x
    x = 551,066,546.78/26,001.39
  6. Step 6: Final answer
    x = 21,193.73

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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.