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Finding the Fourth Proportional to 7,213.14, 10,818.14 and 2,769.30

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Solution

The fourth proportional to 7,213.14, 10,818.14 and 2,769.30 is: 4,153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.14 : 10,818.14 = 2,769.30 : x
  2. Step 2: Convert to fraction form
    7,213.14/10,818.14 = 2,769.30/x
  3. Step 3: Cross multiply
    7,213.14x = 10,818.14 × 2,769.30
  4. Step 4: Simplify right side
    7,213.14x = 29,958,661.26
  5. Step 5: Solve for x
    x = 29,958,661.26/7,213.14
  6. Step 6: Final answer
    x = 4,153.35

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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.