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Finding the Fourth Proportional to 1,256.97, 1,884.08 and 1,073.81

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Solution

The fourth proportional to 1,256.97, 1,884.08 and 1,073.81 is: 1,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.97 : 1,884.08 = 1,073.81 : x
  2. Step 2: Convert to fraction form
    1,256.97/1,884.08 = 1,073.81/x
  3. Step 3: Cross multiply
    1,256.97x = 1,884.08 × 1,073.81
  4. Step 4: Simplify right side
    1,256.97x = 2,023,143.94
  5. Step 5: Solve for x
    x = 2,023,143.94/1,256.97
  6. Step 6: Final answer
    x = 1,609.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.