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Finding the Fourth Proportional to 5,530.84, 8,294.90 and 3,449.78

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Solution

The fourth proportional to 5,530.84, 8,294.90 and 3,449.78 is: 5,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.84 : 8,294.90 = 3,449.78 : x
  2. Step 2: Convert to fraction form
    5,530.84/8,294.90 = 3,449.78/x
  3. Step 3: Cross multiply
    5,530.84x = 8,294.90 × 3,449.78
  4. Step 4: Simplify right side
    5,530.84x = 28,615,580.12
  5. Step 5: Solve for x
    x = 28,615,580.12/5,530.84
  6. Step 6: Final answer
    x = 5,173.82

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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.