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Finding the Fourth Proportional to 6,813.77, 10,218.74 and 1,882.22

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Solution

The fourth proportional to 6,813.77, 10,218.74 and 1,882.22 is: 2,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.77 : 10,218.74 = 1,882.22 : x
  2. Step 2: Convert to fraction form
    6,813.77/10,218.74 = 1,882.22/x
  3. Step 3: Cross multiply
    6,813.77x = 10,218.74 × 1,882.22
  4. Step 4: Simplify right side
    6,813.77x = 19,233,856.30
  5. Step 5: Solve for x
    x = 19,233,856.30/6,813.77
  6. Step 6: Final answer
    x = 2,822.79

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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.