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Finding the Fourth Proportional to 2,874.96, 3,969.54 and 1,944

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Solution

The fourth proportional to 2,874.96, 3,969.54 and 1,944 is: 2,684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.96 : 3,969.54 = 1,944 : x
  2. Step 2: Convert to fraction form
    2,874.96/3,969.54 = 1,944/x
  3. Step 3: Cross multiply
    2,874.96x = 3,969.54 × 1,944
  4. Step 4: Simplify right side
    2,874.96x = 7,716,785.76
  5. Step 5: Solve for x
    x = 7,716,785.76/2,874.96
  6. Step 6: Final answer
    x = 2,684.14

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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.