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Finding the Fourth Proportional to 2,850.66, 3,932.82 and 1,731.24

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Solution

The fourth proportional to 2,850.66, 3,932.82 and 1,731.24 is: 2,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.66 : 3,932.82 = 1,731.24 : x
  2. Step 2: Convert to fraction form
    2,850.66/3,932.82 = 1,731.24/x
  3. Step 3: Cross multiply
    2,850.66x = 3,932.82 × 1,731.24
  4. Step 4: Simplify right side
    2,850.66x = 6,808,655.30
  5. Step 5: Solve for x
    x = 6,808,655.30/2,850.66
  6. Step 6: Final answer
    x = 2,388.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.