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Finding the Fourth Proportional to 1,831.90, 2,747.31 and 965.74

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Solution

The fourth proportional to 1,831.90, 2,747.31 and 965.74 is: 1,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.90 : 2,747.31 = 965.74 : x
  2. Step 2: Convert to fraction form
    1,831.90/2,747.31 = 965.74/x
  3. Step 3: Cross multiply
    1,831.90x = 2,747.31 × 965.74
  4. Step 4: Simplify right side
    1,831.90x = 2,653,187.16
  5. Step 5: Solve for x
    x = 2,653,187.16/1,831.90
  6. Step 6: Final answer
    x = 1,448.33

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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.