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Finding the Fourth Proportional to 3,502.38, 4,831.56 and 3,252.27

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Solution

The fourth proportional to 3,502.38, 4,831.56 and 3,252.27 is: 4,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.38 : 4,831.56 = 3,252.27 : x
  2. Step 2: Convert to fraction form
    3,502.38/4,831.56 = 3,252.27/x
  3. Step 3: Cross multiply
    3,502.38x = 4,831.56 × 3,252.27
  4. Step 4: Simplify right side
    3,502.38x = 15,713,537.64
  5. Step 5: Solve for x
    x = 15,713,537.64/3,502.38
  6. Step 6: Final answer
    x = 4,486.53

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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.