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Finding the Fourth Proportional to 6,419.56, 8,857.37 and 3,766.45

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Solution

The fourth proportional to 6,419.56, 8,857.37 and 3,766.45 is: 5,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.56 : 8,857.37 = 3,766.45 : x
  2. Step 2: Convert to fraction form
    6,419.56/8,857.37 = 3,766.45/x
  3. Step 3: Cross multiply
    6,419.56x = 8,857.37 × 3,766.45
  4. Step 4: Simplify right side
    6,419.56x = 33,360,822.40
  5. Step 5: Solve for x
    x = 33,360,822.40/6,419.56
  6. Step 6: Final answer
    x = 5,196.75

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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.