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Finding the Fourth Proportional to 1,327.53, 1,831.99 and 935.39

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Solution

The fourth proportional to 1,327.53, 1,831.99 and 935.39 is: 1,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.53 : 1,831.99 = 935.39 : x
  2. Step 2: Convert to fraction form
    1,327.53/1,831.99 = 935.39/x
  3. Step 3: Cross multiply
    1,327.53x = 1,831.99 × 935.39
  4. Step 4: Simplify right side
    1,327.53x = 1,713,625.13
  5. Step 5: Solve for x
    x = 1,713,625.13/1,327.53
  6. Step 6: Final answer
    x = 1,290.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.