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Finding the Fourth Proportional to 2,209.71, 3,309.29 and 1,856.59

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Solution

The fourth proportional to 2,209.71, 3,309.29 and 1,856.59 is: 2,780.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.71 : 3,309.29 = 1,856.59 : x
  2. Step 2: Convert to fraction form
    2,209.71/3,309.29 = 1,856.59/x
  3. Step 3: Cross multiply
    2,209.71x = 3,309.29 × 1,856.59
  4. Step 4: Simplify right side
    2,209.71x = 6,143,984.13
  5. Step 5: Solve for x
    x = 6,143,984.13/2,209.71
  6. Step 6: Final answer
    x = 2,780.44

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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.