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Finding the Fourth Proportional to 3,853.85, 5,780.77 and 932.15

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Solution

The fourth proportional to 3,853.85, 5,780.77 and 932.15 is: 1,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.85 : 5,780.77 = 932.15 : x
  2. Step 2: Convert to fraction form
    3,853.85/5,780.77 = 932.15/x
  3. Step 3: Cross multiply
    3,853.85x = 5,780.77 × 932.15
  4. Step 4: Simplify right side
    3,853.85x = 5,388,544.76
  5. Step 5: Solve for x
    x = 5,388,544.76/3,853.85
  6. Step 6: Final answer
    x = 1,398.22

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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.