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Finding the Fourth Proportional to 7,377.94, 11,067.11 and 1,831.20

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Solution

The fourth proportional to 7,377.94, 11,067.11 and 1,831.20 is: 2,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,377.94 : 11,067.11 = 1,831.20 : x
  2. Step 2: Convert to fraction form
    7,377.94/11,067.11 = 1,831.20/x
  3. Step 3: Cross multiply
    7,377.94x = 11,067.11 × 1,831.20
  4. Step 4: Simplify right side
    7,377.94x = 20,266,091.83
  5. Step 5: Solve for x
    x = 20,266,091.83/7,377.94
  6. Step 6: Final answer
    x = 2,746.85

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1.5x scale

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.