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Finding the Fourth Proportional to 1,365.41, 2,046.38 and 1,188.99

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Solution

The fourth proportional to 1,365.41, 2,046.38 and 1,188.99 is: 1,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.41 : 2,046.38 = 1,188.99 : x
  2. Step 2: Convert to fraction form
    1,365.41/2,046.38 = 1,188.99/x
  3. Step 3: Cross multiply
    1,365.41x = 2,046.38 × 1,188.99
  4. Step 4: Simplify right side
    1,365.41x = 2,433,119.41
  5. Step 5: Solve for x
    x = 2,433,119.41/1,365.41
  6. Step 6: Final answer
    x = 1,781.97

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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.