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Finding the Fourth Proportional to 9,243.72, 13,871.25 and 3,400.38

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Solution

The fourth proportional to 9,243.72, 13,871.25 and 3,400.38 is: 5,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.72 : 13,871.25 = 3,400.38 : x
  2. Step 2: Convert to fraction form
    9,243.72/13,871.25 = 3,400.38/x
  3. Step 3: Cross multiply
    9,243.72x = 13,871.25 × 3,400.38
  4. Step 4: Simplify right side
    9,243.72x = 47,167,521.08
  5. Step 5: Solve for x
    x = 47,167,521.08/9,243.72
  6. Step 6: Final answer
    x = 5,102.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.