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Finding the Fourth Proportional to 3,489.84, 5,233.68 and 1,639.80

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Solution

The fourth proportional to 3,489.84, 5,233.68 and 1,639.80 is: 2,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.84 : 5,233.68 = 1,639.80 : x
  2. Step 2: Convert to fraction form
    3,489.84/5,233.68 = 1,639.80/x
  3. Step 3: Cross multiply
    3,489.84x = 5,233.68 × 1,639.80
  4. Step 4: Simplify right side
    3,489.84x = 8,582,188.46
  5. Step 5: Solve for x
    x = 8,582,188.46/3,489.84
  6. Step 6: Final answer
    x = 2,459.19

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Why These Related Problems?

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