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Finding the Fourth Proportional to 7,222, 10,833.60 and 2,027.92

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Solution

The fourth proportional to 7,222, 10,833.60 and 2,027.92 is: 3,042.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222 : 10,833.60 = 2,027.92 : x
  2. Step 2: Convert to fraction form
    7,222/10,833.60 = 2,027.92/x
  3. Step 3: Cross multiply
    7,222x = 10,833.60 × 2,027.92
  4. Step 4: Simplify right side
    7,222x = 21,969,674.11
  5. Step 5: Solve for x
    x = 21,969,674.11/7,222
  6. Step 6: Final answer
    x = 3,042.05

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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.