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Finding the Fourth Proportional to 9,088, 13,632 and 3,619.84

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Solution

The fourth proportional to 9,088, 13,632 and 3,619.84 is: 5,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088 : 13,632 = 3,619.84 : x
  2. Step 2: Convert to fraction form
    9,088/13,632 = 3,619.84/x
  3. Step 3: Cross multiply
    9,088x = 13,632 × 3,619.84
  4. Step 4: Simplify right side
    9,088x = 49,345,658.88
  5. Step 5: Solve for x
    x = 49,345,658.88/9,088
  6. Step 6: Final answer
    x = 5,429.76

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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.