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Finding the Fourth Proportional to 7,222, 10,833.96 and 2,540.88

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Solution

The fourth proportional to 7,222, 10,833.96 and 2,540.88 is: 3,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222 : 10,833.96 = 2,540.88 : x
  2. Step 2: Convert to fraction form
    7,222/10,833.96 = 2,540.88/x
  3. Step 3: Cross multiply
    7,222x = 10,833.96 × 2,540.88
  4. Step 4: Simplify right side
    7,222x = 27,527,792.28
  5. Step 5: Solve for x
    x = 27,527,792.28/7,222
  6. Step 6: Final answer
    x = 3,811.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.