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Finding the Fourth Proportional to 9,142, 13,713 and 2,216.50

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Solution

The fourth proportional to 9,142, 13,713 and 2,216.50 is: 3,324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142 : 13,713 = 2,216.50 : x
  2. Step 2: Convert to fraction form
    9,142/13,713 = 2,216.50/x
  3. Step 3: Cross multiply
    9,142x = 13,713 × 2,216.50
  4. Step 4: Simplify right side
    9,142x = 30,394,864.50
  5. Step 5: Solve for x
    x = 30,394,864.50/9,142
  6. Step 6: Final answer
    x = 3,324.75

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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.