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Finding the Fourth Proportional to 1,262.37, 1,892.03 and 1,114.75

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Solution

The fourth proportional to 1,262.37, 1,892.03 and 1,114.75 is: 1,670.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.37 : 1,892.03 = 1,114.75 : x
  2. Step 2: Convert to fraction form
    1,262.37/1,892.03 = 1,114.75/x
  3. Step 3: Cross multiply
    1,262.37x = 1,892.03 × 1,114.75
  4. Step 4: Simplify right side
    1,262.37x = 2,109,140.44
  5. Step 5: Solve for x
    x = 2,109,140.44/1,262.37
  6. Step 6: Final answer
    x = 1,670.78

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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.