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Finding the Fourth Proportional to 1,236.57, 1,856.06 and 1,230.80

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Solution

The fourth proportional to 1,236.57, 1,856.06 and 1,230.80 is: 1,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.57 : 1,856.06 = 1,230.80 : x
  2. Step 2: Convert to fraction form
    1,236.57/1,856.06 = 1,230.80/x
  3. Step 3: Cross multiply
    1,236.57x = 1,856.06 × 1,230.80
  4. Step 4: Simplify right side
    1,236.57x = 2,284,434.75
  5. Step 5: Solve for x
    x = 2,284,434.75/1,236.57
  6. Step 6: Final answer
    x = 1,847.40

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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.