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Finding the Fourth Proportional to 2,892.42, 3,991.19 and 1,633.64

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Solution

The fourth proportional to 2,892.42, 3,991.19 and 1,633.64 is: 2,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.42 : 3,991.19 = 1,633.64 : x
  2. Step 2: Convert to fraction form
    2,892.42/3,991.19 = 1,633.64/x
  3. Step 3: Cross multiply
    2,892.42x = 3,991.19 × 1,633.64
  4. Step 4: Simplify right side
    2,892.42x = 6,520,139.51
  5. Step 5: Solve for x
    x = 6,520,139.51/2,892.42
  6. Step 6: Final answer
    x = 2,254.22

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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.