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Finding the Fourth Proportional to 15,679.78, 23,519.80 and 3,993

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Solution

The fourth proportional to 15,679.78, 23,519.80 and 3,993 is: 5,989.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,679.78 : 23,519.80 = 3,993 : x
  2. Step 2: Convert to fraction form
    15,679.78/23,519.80 = 3,993/x
  3. Step 3: Cross multiply
    15,679.78x = 23,519.80 × 3,993
  4. Step 4: Simplify right side
    15,679.78x = 93,914,561.40
  5. Step 5: Solve for x
    x = 93,914,561.40/15,679.78
  6. Step 6: Final answer
    x = 5,989.53

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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.