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Finding the Fourth Proportional to 2,711.76, 4,070.38 and 1,831.49

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Solution

The fourth proportional to 2,711.76, 4,070.38 and 1,831.49 is: 2,749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.76 : 4,070.38 = 1,831.49 : x
  2. Step 2: Convert to fraction form
    2,711.76/4,070.38 = 1,831.49/x
  3. Step 3: Cross multiply
    2,711.76x = 4,070.38 × 1,831.49
  4. Step 4: Simplify right side
    2,711.76x = 7,454,865.86
  5. Step 5: Solve for x
    x = 7,454,865.86/2,711.76
  6. Step 6: Final answer
    x = 2,749.09

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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.