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Finding the Fourth Proportional to 9,108, 13,661.76 and 2,533.92

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Solution

The fourth proportional to 9,108, 13,661.76 and 2,533.92 is: 3,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108 : 13,661.76 = 2,533.92 : x
  2. Step 2: Convert to fraction form
    9,108/13,661.76 = 2,533.92/x
  3. Step 3: Cross multiply
    9,108x = 13,661.76 × 2,533.92
  4. Step 4: Simplify right side
    9,108x = 34,617,806.90
  5. Step 5: Solve for x
    x = 34,617,806.90/9,108
  6. Step 6: Final answer
    x = 3,800.81

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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.