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Finding the Fourth Proportional to 7,228, 9,974.64 and 3,916

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Solution

The fourth proportional to 7,228, 9,974.64 and 3,916 is: 5,404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228 : 9,974.64 = 3,916 : x
  2. Step 2: Convert to fraction form
    7,228/9,974.64 = 3,916/x
  3. Step 3: Cross multiply
    7,228x = 9,974.64 × 3,916
  4. Step 4: Simplify right side
    7,228x = 39,060,690.24
  5. Step 5: Solve for x
    x = 39,060,690.24/7,228
  6. Step 6: Final answer
    x = 5,404.08

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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.