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Finding the Fourth Proportional to 5,518, 8,277 and 2,401.12

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Solution

The fourth proportional to 5,518, 8,277 and 2,401.12 is: 3,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,518 : 8,277 = 2,401.12 : x
  2. Step 2: Convert to fraction form
    5,518/8,277 = 2,401.12/x
  3. Step 3: Cross multiply
    5,518x = 8,277 × 2,401.12
  4. Step 4: Simplify right side
    5,518x = 19,874,070.24
  5. Step 5: Solve for x
    x = 19,874,070.24/5,518
  6. Step 6: Final answer
    x = 3,601.68

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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.