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Finding the Fourth Proportional to 11,819.25, 17,735.04 and 7,658.17

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Solution

The fourth proportional to 11,819.25, 17,735.04 and 7,658.17 is: 11,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.25 : 17,735.04 = 7,658.17 : x
  2. Step 2: Convert to fraction form
    11,819.25/17,735.04 = 7,658.17/x
  3. Step 3: Cross multiply
    11,819.25x = 17,735.04 × 7,658.17
  4. Step 4: Simplify right side
    11,819.25x = 135,817,951.28
  5. Step 5: Solve for x
    x = 135,817,951.28/11,819.25
  6. Step 6: Final answer
    x = 11,491.25

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1.5x scale

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.