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Finding the Fourth Proportional to 22,718, 31,353.82 and 13,768.86

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Solution

The fourth proportional to 22,718, 31,353.82 and 13,768.86 is: 19,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,718 : 31,353.82 = 13,768.86 : x
  2. Step 2: Convert to fraction form
    22,718/31,353.82 = 13,768.86/x
  3. Step 3: Cross multiply
    22,718x = 31,353.82 × 13,768.86
  4. Step 4: Simplify right side
    22,718x = 431,706,358.05
  5. Step 5: Solve for x
    x = 431,706,358.05/22,718
  6. Step 6: Final answer
    x = 19,002.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.