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Finding the Fourth Proportional to 6,129.68, 8,459.84 and 3,441.19

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Solution

The fourth proportional to 6,129.68, 8,459.84 and 3,441.19 is: 4,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.68 : 8,459.84 = 3,441.19 : x
  2. Step 2: Convert to fraction form
    6,129.68/8,459.84 = 3,441.19/x
  3. Step 3: Cross multiply
    6,129.68x = 8,459.84 × 3,441.19
  4. Step 4: Simplify right side
    6,129.68x = 29,111,857.30
  5. Step 5: Solve for x
    x = 29,111,857.30/6,129.68
  6. Step 6: Final answer
    x = 4,749.33

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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.