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Finding the Fourth Proportional to 2,892.30, 3,990.92 and 1,633.07

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Solution

The fourth proportional to 2,892.30, 3,990.92 and 1,633.07 is: 2,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.30 : 3,990.92 = 1,633.07 : x
  2. Step 2: Convert to fraction form
    2,892.30/3,990.92 = 1,633.07/x
  3. Step 3: Cross multiply
    2,892.30x = 3,990.92 × 1,633.07
  4. Step 4: Simplify right side
    2,892.30x = 6,517,451.72
  5. Step 5: Solve for x
    x = 6,517,451.72/2,892.30
  6. Step 6: Final answer
    x = 2,253.38

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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.