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Finding the Fourth Proportional to 1,853.53, 2,557.02 and 1,255.81

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Solution

The fourth proportional to 1,853.53, 2,557.02 and 1,255.81 is: 1,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.53 : 2,557.02 = 1,255.81 : x
  2. Step 2: Convert to fraction form
    1,853.53/2,557.02 = 1,255.81/x
  3. Step 3: Cross multiply
    1,853.53x = 2,557.02 × 1,255.81
  4. Step 4: Simplify right side
    1,853.53x = 3,211,131.29
  5. Step 5: Solve for x
    x = 3,211,131.29/1,853.53
  6. Step 6: Final answer
    x = 1,732.44

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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.