Home / 3,138.11-4,707.92-946.70

Finding the Fourth Proportional to 3,138.11, 4,707.92 and 946.70

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Solution

The fourth proportional to 3,138.11, 4,707.92 and 946.70 is: 1,420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.11 : 4,707.92 = 946.70 : x
  2. Step 2: Convert to fraction form
    3,138.11/4,707.92 = 946.70/x
  3. Step 3: Cross multiply
    3,138.11x = 4,707.92 × 946.70
  4. Step 4: Simplify right side
    3,138.11x = 4,456,983.13
  5. Step 5: Solve for x
    x = 4,456,983.13/3,138.11
  6. Step 6: Final answer
    x = 1,420.28

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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.