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Finding the Fourth Proportional to 2,074.70, 2,863.07 and 1,143.20

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Solution

The fourth proportional to 2,074.70, 2,863.07 and 1,143.20 is: 1,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.70 : 2,863.07 = 1,143.20 : x
  2. Step 2: Convert to fraction form
    2,074.70/2,863.07 = 1,143.20/x
  3. Step 3: Cross multiply
    2,074.70x = 2,863.07 × 1,143.20
  4. Step 4: Simplify right side
    2,074.70x = 3,273,041.59
  5. Step 5: Solve for x
    x = 3,273,041.59/2,074.70
  6. Step 6: Final answer
    x = 1,577.60

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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.