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Finding the Fourth Proportional to 7,213.64, 10,821.56 and 2,281.64

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Solution

The fourth proportional to 7,213.64, 10,821.56 and 2,281.64 is: 3,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.64 : 10,821.56 = 2,281.64 : x
  2. Step 2: Convert to fraction form
    7,213.64/10,821.56 = 2,281.64/x
  3. Step 3: Cross multiply
    7,213.64x = 10,821.56 × 2,281.64
  4. Step 4: Simplify right side
    7,213.64x = 24,690,904.16
  5. Step 5: Solve for x
    x = 24,690,904.16/7,213.64
  6. Step 6: Final answer
    x = 3,422.81

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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.