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Finding the Fourth Proportional to 6,812.74, 10,219.12 and 1,882.76

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Solution

The fourth proportional to 6,812.74, 10,219.12 and 1,882.76 is: 2,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.74 : 10,219.12 = 1,882.76 : x
  2. Step 2: Convert to fraction form
    6,812.74/10,219.12 = 1,882.76/x
  3. Step 3: Cross multiply
    6,812.74x = 10,219.12 × 1,882.76
  4. Step 4: Simplify right side
    6,812.74x = 19,240,171.21
  5. Step 5: Solve for x
    x = 19,240,171.21/6,812.74
  6. Step 6: Final answer
    x = 2,824.15

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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.