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Finding the Fourth Proportional to 2,094.90, 3,142.38 and 634.08

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Solution

The fourth proportional to 2,094.90, 3,142.38 and 634.08 is: 951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.90 : 3,142.38 = 634.08 : x
  2. Step 2: Convert to fraction form
    2,094.90/3,142.38 = 634.08/x
  3. Step 3: Cross multiply
    2,094.90x = 3,142.38 × 634.08
  4. Step 4: Simplify right side
    2,094.90x = 1,992,520.31
  5. Step 5: Solve for x
    x = 1,992,520.31/2,094.90
  6. Step 6: Final answer
    x = 951.13

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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.