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Finding the Fourth Proportional to 3,083.87, 4,626.51 and 892.78

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Solution

The fourth proportional to 3,083.87, 4,626.51 and 892.78 is: 1,339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.87 : 4,626.51 = 892.78 : x
  2. Step 2: Convert to fraction form
    3,083.87/4,626.51 = 892.78/x
  3. Step 3: Cross multiply
    3,083.87x = 4,626.51 × 892.78
  4. Step 4: Simplify right side
    3,083.87x = 4,130,440.68
  5. Step 5: Solve for x
    x = 4,130,440.68/3,083.87
  6. Step 6: Final answer
    x = 1,339.37

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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.