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Finding the Fourth Proportional to 3,428.51, 5,142.77 and 831.45

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Solution

The fourth proportional to 3,428.51, 5,142.77 and 831.45 is: 1,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.51 : 5,142.77 = 831.45 : x
  2. Step 2: Convert to fraction form
    3,428.51/5,142.77 = 831.45/x
  3. Step 3: Cross multiply
    3,428.51x = 5,142.77 × 831.45
  4. Step 4: Simplify right side
    3,428.51x = 4,275,951.96
  5. Step 5: Solve for x
    x = 4,275,951.96/3,428.51
  6. Step 6: Final answer
    x = 1,247.18

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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.