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Finding the Fourth Proportional to 1,819.12, 2,726.55 and 843.16

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Solution

The fourth proportional to 1,819.12, 2,726.55 and 843.16 is: 1,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.12 : 2,726.55 = 843.16 : x
  2. Step 2: Convert to fraction form
    1,819.12/2,726.55 = 843.16/x
  3. Step 3: Cross multiply
    1,819.12x = 2,726.55 × 843.16
  4. Step 4: Simplify right side
    1,819.12x = 2,298,917.90
  5. Step 5: Solve for x
    x = 2,298,917.90/1,819.12
  6. Step 6: Final answer
    x = 1,263.75

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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.