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Finding the Fourth Proportional to 3,793.86, 5,690.77 and 1,020.30

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Solution

The fourth proportional to 3,793.86, 5,690.77 and 1,020.30 is: 1,530.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.86 : 5,690.77 = 1,020.30 : x
  2. Step 2: Convert to fraction form
    3,793.86/5,690.77 = 1,020.30/x
  3. Step 3: Cross multiply
    3,793.86x = 5,690.77 × 1,020.30
  4. Step 4: Simplify right side
    3,793.86x = 5,806,268.74
  5. Step 5: Solve for x
    x = 5,806,268.74/3,793.86
  6. Step 6: Final answer
    x = 1,530.44

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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.