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Finding the Fourth Proportional to 7,831.41, 10,791 and 5,839.62

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Solution

The fourth proportional to 7,831.41, 10,791 and 5,839.62 is: 8,046.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.41 : 10,791 = 5,839.62 : x
  2. Step 2: Convert to fraction form
    7,831.41/10,791 = 5,839.62/x
  3. Step 3: Cross multiply
    7,831.41x = 10,791 × 5,839.62
  4. Step 4: Simplify right side
    7,831.41x = 63,015,339.42
  5. Step 5: Solve for x
    x = 63,015,339.42/7,831.41
  6. Step 6: Final answer
    x = 8,046.49

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1.5x scale

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.