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Finding the Fourth Proportional to 6,831.09, 9,418.55 and 5,411.97

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Solution

The fourth proportional to 6,831.09, 9,418.55 and 5,411.97 is: 7,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.09 : 9,418.55 = 5,411.97 : x
  2. Step 2: Convert to fraction form
    6,831.09/9,418.55 = 5,411.97/x
  3. Step 3: Cross multiply
    6,831.09x = 9,418.55 × 5,411.97
  4. Step 4: Simplify right side
    6,831.09x = 50,972,882.98
  5. Step 5: Solve for x
    x = 50,972,882.98/6,831.09
  6. Step 6: Final answer
    x = 7,461.90

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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.