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Finding the Fourth Proportional to 6,419.40, 8,857.40 and 3,764.92

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Solution

The fourth proportional to 6,419.40, 8,857.40 and 3,764.92 is: 5,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.40 : 8,857.40 = 3,764.92 : x
  2. Step 2: Convert to fraction form
    6,419.40/8,857.40 = 3,764.92/x
  3. Step 3: Cross multiply
    6,419.40x = 8,857.40 × 3,764.92
  4. Step 4: Simplify right side
    6,419.40x = 33,347,402.41
  5. Step 5: Solve for x
    x = 33,347,402.41/6,419.40
  6. Step 6: Final answer
    x = 5,194.78

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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.