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Finding the Fourth Proportional to 7,210, 9,949.81 and 3,898

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Solution

The fourth proportional to 7,210, 9,949.81 and 3,898 is: 5,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210 : 9,949.81 = 3,898 : x
  2. Step 2: Convert to fraction form
    7,210/9,949.81 = 3,898/x
  3. Step 3: Cross multiply
    7,210x = 9,949.81 × 3,898
  4. Step 4: Simplify right side
    7,210x = 38,784,359.38
  5. Step 5: Solve for x
    x = 38,784,359.38/7,210
  6. Step 6: Final answer
    x = 5,379.25

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Why These Related Problems?

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