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Finding the Fourth Proportional to 1,809.86, 2,713.97 and 1,262.30

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Solution

The fourth proportional to 1,809.86, 2,713.97 and 1,262.30 is: 1,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.86 : 2,713.97 = 1,262.30 : x
  2. Step 2: Convert to fraction form
    1,809.86/2,713.97 = 1,262.30/x
  3. Step 3: Cross multiply
    1,809.86x = 2,713.97 × 1,262.30
  4. Step 4: Simplify right side
    1,809.86x = 3,425,833.92
  5. Step 5: Solve for x
    x = 3,425,833.92/1,809.86
  6. Step 6: Final answer
    x = 1,892.88

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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.