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Finding the Fourth Proportional to 7,348.71, 11,019.98 and 3,450.38

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Solution

The fourth proportional to 7,348.71, 11,019.98 and 3,450.38 is: 5,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.71 : 11,019.98 = 3,450.38 : x
  2. Step 2: Convert to fraction form
    7,348.71/11,019.98 = 3,450.38/x
  3. Step 3: Cross multiply
    7,348.71x = 11,019.98 × 3,450.38
  4. Step 4: Simplify right side
    7,348.71x = 38,023,046.24
  5. Step 5: Solve for x
    x = 38,023,046.24/7,348.71
  6. Step 6: Final answer
    x = 5,174.11

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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.