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Finding the Fourth Proportional to 2,793.20, 4,189.95 and 945.53

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Solution

The fourth proportional to 2,793.20, 4,189.95 and 945.53 is: 1,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.20 : 4,189.95 = 945.53 : x
  2. Step 2: Convert to fraction form
    2,793.20/4,189.95 = 945.53/x
  3. Step 3: Cross multiply
    2,793.20x = 4,189.95 × 945.53
  4. Step 4: Simplify right side
    2,793.20x = 3,961,702.47
  5. Step 5: Solve for x
    x = 3,961,702.47/2,793.20
  6. Step 6: Final answer
    x = 1,418.34

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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.