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Finding the Fourth Proportional to 5,459.68, 8,189.34 and 1,761.88

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Solution

The fourth proportional to 5,459.68, 8,189.34 and 1,761.88 is: 2,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.68 : 8,189.34 = 1,761.88 : x
  2. Step 2: Convert to fraction form
    5,459.68/8,189.34 = 1,761.88/x
  3. Step 3: Cross multiply
    5,459.68x = 8,189.34 × 1,761.88
  4. Step 4: Simplify right side
    5,459.68x = 14,428,634.36
  5. Step 5: Solve for x
    x = 14,428,634.36/5,459.68
  6. Step 6: Final answer
    x = 2,642.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.