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Finding the Fourth Proportional to 3,891.08, 5,831.91 and 1,424.57

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Solution

The fourth proportional to 3,891.08, 5,831.91 and 1,424.57 is: 2,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.08 : 5,831.91 = 1,424.57 : x
  2. Step 2: Convert to fraction form
    3,891.08/5,831.91 = 1,424.57/x
  3. Step 3: Cross multiply
    3,891.08x = 5,831.91 × 1,424.57
  4. Step 4: Simplify right side
    3,891.08x = 8,307,934.87
  5. Step 5: Solve for x
    x = 8,307,934.87/3,891.08
  6. Step 6: Final answer
    x = 2,135.13

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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.