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Finding the Fourth Proportional to 6,338.23, 8,748.63 and 4,100.20

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Solution

The fourth proportional to 6,338.23, 8,748.63 and 4,100.20 is: 5,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.23 : 8,748.63 = 4,100.20 : x
  2. Step 2: Convert to fraction form
    6,338.23/8,748.63 = 4,100.20/x
  3. Step 3: Cross multiply
    6,338.23x = 8,748.63 × 4,100.20
  4. Step 4: Simplify right side
    6,338.23x = 35,871,132.73
  5. Step 5: Solve for x
    x = 35,871,132.73/6,338.23
  6. Step 6: Final answer
    x = 5,659.49

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