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Finding the Fourth Proportional to 11,819.76, 17,695.32 and 6,874.32

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Solution

The fourth proportional to 11,819.76, 17,695.32 and 6,874.32 is: 10,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.76 : 17,695.32 = 6,874.32 : x
  2. Step 2: Convert to fraction form
    11,819.76/17,695.32 = 6,874.32/x
  3. Step 3: Cross multiply
    11,819.76x = 17,695.32 × 6,874.32
  4. Step 4: Simplify right side
    11,819.76x = 121,643,292.18
  5. Step 5: Solve for x
    x = 121,643,292.18/11,819.76
  6. Step 6: Final answer
    x = 10,291.52

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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.