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Finding the Fourth Proportional to 2,646.42, 3,651.42 and 1,983.84

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Solution

The fourth proportional to 2,646.42, 3,651.42 and 1,983.84 is: 2,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.42 : 3,651.42 = 1,983.84 : x
  2. Step 2: Convert to fraction form
    2,646.42/3,651.42 = 1,983.84/x
  3. Step 3: Cross multiply
    2,646.42x = 3,651.42 × 1,983.84
  4. Step 4: Simplify right side
    2,646.42x = 7,243,833.05
  5. Step 5: Solve for x
    x = 7,243,833.05/2,646.42
  6. Step 6: Final answer
    x = 2,737.22

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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.