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Finding the Fourth Proportional to 3,144.92, 4,717.04 and 1,911.92

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Solution

The fourth proportional to 3,144.92, 4,717.04 and 1,911.92 is: 2,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.92 : 4,717.04 = 1,911.92 : x
  2. Step 2: Convert to fraction form
    3,144.92/4,717.04 = 1,911.92/x
  3. Step 3: Cross multiply
    3,144.92x = 4,717.04 × 1,911.92
  4. Step 4: Simplify right side
    3,144.92x = 9,018,603.12
  5. Step 5: Solve for x
    x = 9,018,603.12/3,144.92
  6. Step 6: Final answer
    x = 2,867.67

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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.