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Finding the Fourth Proportional to 9,149.95, 13,715.81 and 4,990.55

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Solution

The fourth proportional to 9,149.95, 13,715.81 and 4,990.55 is: 7,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.95 : 13,715.81 = 4,990.55 : x
  2. Step 2: Convert to fraction form
    9,149.95/13,715.81 = 4,990.55/x
  3. Step 3: Cross multiply
    9,149.95x = 13,715.81 × 4,990.55
  4. Step 4: Simplify right side
    9,149.95x = 68,449,435.60
  5. Step 5: Solve for x
    x = 68,449,435.60/9,149.95
  6. Step 6: Final answer
    x = 7,480.85

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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.