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Finding the Fourth Proportional to 9,098.75, 13,633.50 and 7,640.75

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Solution

The fourth proportional to 9,098.75, 13,633.50 and 7,640.75 is: 11,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.75 : 13,633.50 = 7,640.75 : x
  2. Step 2: Convert to fraction form
    9,098.75/13,633.50 = 7,640.75/x
  3. Step 3: Cross multiply
    9,098.75x = 13,633.50 × 7,640.75
  4. Step 4: Simplify right side
    9,098.75x = 104,170,165.13
  5. Step 5: Solve for x
    x = 104,170,165.13/9,098.75
  6. Step 6: Final answer
    x = 11,448.84

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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.