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Finding the Fourth Proportional to 3,090.60, 4,640.02 and 1,793

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Solution

The fourth proportional to 3,090.60, 4,640.02 and 1,793 is: 2,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.60 : 4,640.02 = 1,793 : x
  2. Step 2: Convert to fraction form
    3,090.60/4,640.02 = 1,793/x
  3. Step 3: Cross multiply
    3,090.60x = 4,640.02 × 1,793
  4. Step 4: Simplify right side
    3,090.60x = 8,319,555.86
  5. Step 5: Solve for x
    x = 8,319,555.86/3,090.60
  6. Step 6: Final answer
    x = 2,691.89

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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.