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Finding the Fourth Proportional to 2,088.57, 3,131.94 and 627.45

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Solution

The fourth proportional to 2,088.57, 3,131.94 and 627.45 is: 940.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.57 : 3,131.94 = 627.45 : x
  2. Step 2: Convert to fraction form
    2,088.57/3,131.94 = 627.45/x
  3. Step 3: Cross multiply
    2,088.57x = 3,131.94 × 627.45
  4. Step 4: Simplify right side
    2,088.57x = 1,965,135.75
  5. Step 5: Solve for x
    x = 1,965,135.75/2,088.57
  6. Step 6: Final answer
    x = 940.90

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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.