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Finding the Fourth Proportional to 2,747.86, 4,121.93 and 800.21

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Solution

The fourth proportional to 2,747.86, 4,121.93 and 800.21 is: 1,200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.86 : 4,121.93 = 800.21 : x
  2. Step 2: Convert to fraction form
    2,747.86/4,121.93 = 800.21/x
  3. Step 3: Cross multiply
    2,747.86x = 4,121.93 × 800.21
  4. Step 4: Simplify right side
    2,747.86x = 3,298,405.60
  5. Step 5: Solve for x
    x = 3,298,405.60/2,747.86
  6. Step 6: Final answer
    x = 1,200.36

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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.