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Finding the Fourth Proportional to 3,869.63, 5,327.95 and 3,414.92

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Solution

The fourth proportional to 3,869.63, 5,327.95 and 3,414.92 is: 4,701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.63 : 5,327.95 = 3,414.92 : x
  2. Step 2: Convert to fraction form
    3,869.63/5,327.95 = 3,414.92/x
  3. Step 3: Cross multiply
    3,869.63x = 5,327.95 × 3,414.92
  4. Step 4: Simplify right side
    3,869.63x = 18,194,509.69
  5. Step 5: Solve for x
    x = 18,194,509.69/3,869.63
  6. Step 6: Final answer
    x = 4,701.87

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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.