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Finding the Fourth Proportional to 9,150, 13,721.95 and 3,601.90

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Solution

The fourth proportional to 9,150, 13,721.95 and 3,601.90 is: 5,401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150 : 13,721.95 = 3,601.90 : x
  2. Step 2: Convert to fraction form
    9,150/13,721.95 = 3,601.90/x
  3. Step 3: Cross multiply
    9,150x = 13,721.95 × 3,601.90
  4. Step 4: Simplify right side
    9,150x = 49,425,091.71
  5. Step 5: Solve for x
    x = 49,425,091.71/9,150
  6. Step 6: Final answer
    x = 5,401.65

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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.