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Finding the Fourth Proportional to 7,222, 9,966.39 and 3,910

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Solution

The fourth proportional to 7,222, 9,966.39 and 3,910 is: 5,395.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222 : 9,966.39 = 3,910 : x
  2. Step 2: Convert to fraction form
    7,222/9,966.39 = 3,910/x
  3. Step 3: Cross multiply
    7,222x = 9,966.39 × 3,910
  4. Step 4: Simplify right side
    7,222x = 38,968,584.90
  5. Step 5: Solve for x
    x = 38,968,584.90/7,222
  6. Step 6: Final answer
    x = 5,395.82

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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.