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Finding the Fourth Proportional to 3,281.99, 4,916.84 and 1,636.61

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Solution

The fourth proportional to 3,281.99, 4,916.84 and 1,636.61 is: 2,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.99 : 4,916.84 = 1,636.61 : x
  2. Step 2: Convert to fraction form
    3,281.99/4,916.84 = 1,636.61/x
  3. Step 3: Cross multiply
    3,281.99x = 4,916.84 × 1,636.61
  4. Step 4: Simplify right side
    3,281.99x = 8,046,916.75
  5. Step 5: Solve for x
    x = 8,046,916.75/3,281.99
  6. Step 6: Final answer
    x = 2,451.84

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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.