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Finding the Fourth Proportional to 2,398.56, 3,595.74 and 1,227.80

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Solution

The fourth proportional to 2,398.56, 3,595.74 and 1,227.80 is: 1,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.56 : 3,595.74 = 1,227.80 : x
  2. Step 2: Convert to fraction form
    2,398.56/3,595.74 = 1,227.80/x
  3. Step 3: Cross multiply
    2,398.56x = 3,595.74 × 1,227.80
  4. Step 4: Simplify right side
    2,398.56x = 4,414,831.59
  5. Step 5: Solve for x
    x = 4,414,831.59/2,398.56
  6. Step 6: Final answer
    x = 1,840.62

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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.