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Finding the Fourth Proportional to 7,174.17, 9,898.20 and 4,187.97

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Solution

The fourth proportional to 7,174.17, 9,898.20 and 4,187.97 is: 5,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.17 : 9,898.20 = 4,187.97 : x
  2. Step 2: Convert to fraction form
    7,174.17/9,898.20 = 4,187.97/x
  3. Step 3: Cross multiply
    7,174.17x = 9,898.20 × 4,187.97
  4. Step 4: Simplify right side
    7,174.17x = 41,453,364.65
  5. Step 5: Solve for x
    x = 41,453,364.65/7,174.17
  6. Step 6: Final answer
    x = 5,778.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.