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Finding the Fourth Proportional to 1,902.52, 2,856.75 and 1,809.91

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Solution

The fourth proportional to 1,902.52, 2,856.75 and 1,809.91 is: 2,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.52 : 2,856.75 = 1,809.91 : x
  2. Step 2: Convert to fraction form
    1,902.52/2,856.75 = 1,809.91/x
  3. Step 3: Cross multiply
    1,902.52x = 2,856.75 × 1,809.91
  4. Step 4: Simplify right side
    1,902.52x = 5,170,460.39
  5. Step 5: Solve for x
    x = 5,170,460.39/1,902.52
  6. Step 6: Final answer
    x = 2,717.69

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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.