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Finding the Fourth Proportional to 15,930, 23,895 and 4,243.32

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Solution

The fourth proportional to 15,930, 23,895 and 4,243.32 is: 6,364.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930 : 23,895 = 4,243.32 : x
  2. Step 2: Convert to fraction form
    15,930/23,895 = 4,243.32/x
  3. Step 3: Cross multiply
    15,930x = 23,895 × 4,243.32
  4. Step 4: Simplify right side
    15,930x = 101,394,131.40
  5. Step 5: Solve for x
    x = 101,394,131.40/15,930
  6. Step 6: Final answer
    x = 6,364.98

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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.