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Finding the Fourth Proportional to 2,811.87, 3,880.31 and 1,552.95

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Solution

The fourth proportional to 2,811.87, 3,880.31 and 1,552.95 is: 2,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.87 : 3,880.31 = 1,552.95 : x
  2. Step 2: Convert to fraction form
    2,811.87/3,880.31 = 1,552.95/x
  3. Step 3: Cross multiply
    2,811.87x = 3,880.31 × 1,552.95
  4. Step 4: Simplify right side
    2,811.87x = 6,025,919.65
  5. Step 5: Solve for x
    x = 6,025,919.65/2,811.87
  6. Step 6: Final answer
    x = 2,143.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.