Home / 1,942.56-2,677.58-1,644.48

Finding the Fourth Proportional to 1,942.56, 2,677.58 and 1,644.48

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Solution

The fourth proportional to 1,942.56, 2,677.58 and 1,644.48 is: 2,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.56 : 2,677.58 = 1,644.48 : x
  2. Step 2: Convert to fraction form
    1,942.56/2,677.58 = 1,644.48/x
  3. Step 3: Cross multiply
    1,942.56x = 2,677.58 × 1,644.48
  4. Step 4: Simplify right side
    1,942.56x = 4,403,226.76
  5. Step 5: Solve for x
    x = 4,403,226.76/1,942.56
  6. Step 6: Final answer
    x = 2,266.71

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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.