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Finding the Fourth Proportional to 3,877.86, 5,351.24 and 2,109.47

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Solution

The fourth proportional to 3,877.86, 5,351.24 and 2,109.47 is: 2,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.86 : 5,351.24 = 2,109.47 : x
  2. Step 2: Convert to fraction form
    3,877.86/5,351.24 = 2,109.47/x
  3. Step 3: Cross multiply
    3,877.86x = 5,351.24 × 2,109.47
  4. Step 4: Simplify right side
    3,877.86x = 11,288,242.94
  5. Step 5: Solve for x
    x = 11,288,242.94/3,877.86
  6. Step 6: Final answer
    x = 2,910.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.