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Finding the Fourth Proportional to 7,218, 9,960.84 and 3,906

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Solution

The fourth proportional to 7,218, 9,960.84 and 3,906 is: 5,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218 : 9,960.84 = 3,906 : x
  2. Step 2: Convert to fraction form
    7,218/9,960.84 = 3,906/x
  3. Step 3: Cross multiply
    7,218x = 9,960.84 × 3,906
  4. Step 4: Simplify right side
    7,218x = 38,907,041.04
  5. Step 5: Solve for x
    x = 38,907,041.04/7,218
  6. Step 6: Final answer
    x = 5,390.28

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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.