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Finding the Fourth Proportional to 3,803.86, 5,705.79 and 2,770.44

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Solution

The fourth proportional to 3,803.86, 5,705.79 and 2,770.44 is: 4,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.86 : 5,705.79 = 2,770.44 : x
  2. Step 2: Convert to fraction form
    3,803.86/5,705.79 = 2,770.44/x
  3. Step 3: Cross multiply
    3,803.86x = 5,705.79 × 2,770.44
  4. Step 4: Simplify right side
    3,803.86x = 15,807,506.47
  5. Step 5: Solve for x
    x = 15,807,506.47/3,803.86
  6. Step 6: Final answer
    x = 4,155.65

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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.