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Finding the Fourth Proportional to 11,886.46, 17,819.97 and 4,486.71

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Solution

The fourth proportional to 11,886.46, 17,819.97 and 4,486.71 is: 6,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.46 : 17,819.97 = 4,486.71 : x
  2. Step 2: Convert to fraction form
    11,886.46/17,819.97 = 4,486.71/x
  3. Step 3: Cross multiply
    11,886.46x = 17,819.97 × 4,486.71
  4. Step 4: Simplify right side
    11,886.46x = 79,953,037.60
  5. Step 5: Solve for x
    x = 79,953,037.60/11,886.46
  6. Step 6: Final answer
    x = 6,726.40

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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.