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Finding the Fourth Proportional to 7,213.14, 10,820.79 and 2,281.14

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Solution

The fourth proportional to 7,213.14, 10,820.79 and 2,281.14 is: 3,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.14 : 10,820.79 = 2,281.14 : x
  2. Step 2: Convert to fraction form
    7,213.14/10,820.79 = 2,281.14/x
  3. Step 3: Cross multiply
    7,213.14x = 10,820.79 × 2,281.14
  4. Step 4: Simplify right side
    7,213.14x = 24,683,736.90
  5. Step 5: Solve for x
    x = 24,683,736.90/7,213.14
  6. Step 6: Final answer
    x = 3,422.05

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1.5x scale

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.