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Finding the Fourth Proportional to 12,496.78, 18,754.40 and 5,922.99

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Solution

The fourth proportional to 12,496.78, 18,754.40 and 5,922.99 is: 8,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.78 : 18,754.40 = 5,922.99 : x
  2. Step 2: Convert to fraction form
    12,496.78/18,754.40 = 5,922.99/x
  3. Step 3: Cross multiply
    12,496.78x = 18,754.40 × 5,922.99
  4. Step 4: Simplify right side
    12,496.78x = 111,082,138.46
  5. Step 5: Solve for x
    x = 111,082,138.46/12,496.78
  6. Step 6: Final answer
    x = 8,888.86

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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.