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Finding the Fourth Proportional to 55,215, 82,822.50 and 13,662

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Solution

The fourth proportional to 55,215, 82,822.50 and 13,662 is: 20,493

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,215 : 82,822.50 = 13,662 : x
  2. Step 2: Convert to fraction form
    55,215/82,822.50 = 13,662/x
  3. Step 3: Cross multiply
    55,215x = 82,822.50 × 13,662
  4. Step 4: Simplify right side
    55,215x = 1,131,520,995
  5. Step 5: Solve for x
    x = 1,131,520,995/55,215
  6. Step 6: Final answer
    x = 20,493

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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.