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Finding the Fourth Proportional to 1,255.14, 1,882.84 and 1,110.50

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Solution

The fourth proportional to 1,255.14, 1,882.84 and 1,110.50 is: 1,665.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.14 : 1,882.84 = 1,110.50 : x
  2. Step 2: Convert to fraction form
    1,255.14/1,882.84 = 1,110.50/x
  3. Step 3: Cross multiply
    1,255.14x = 1,882.84 × 1,110.50
  4. Step 4: Simplify right side
    1,255.14x = 2,090,893.82
  5. Step 5: Solve for x
    x = 2,090,893.82/1,255.14
  6. Step 6: Final answer
    x = 1,665.87

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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.