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Finding the Fourth Proportional to 22,255.50, 30,712.62 and 13,872

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Solution

The fourth proportional to 22,255.50, 30,712.62 and 13,872 is: 19,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,255.50 : 30,712.62 = 13,872 : x
  2. Step 2: Convert to fraction form
    22,255.50/30,712.62 = 13,872/x
  3. Step 3: Cross multiply
    22,255.50x = 30,712.62 × 13,872
  4. Step 4: Simplify right side
    22,255.50x = 426,045,464.64
  5. Step 5: Solve for x
    x = 426,045,464.64/22,255.50
  6. Step 6: Final answer
    x = 19,143.38

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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.