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Finding the Fourth Proportional to 11,901.84, 17,819.48 and 8,970.96

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Solution

The fourth proportional to 11,901.84, 17,819.48 and 8,970.96 is: 13,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.84 : 17,819.48 = 8,970.96 : x
  2. Step 2: Convert to fraction form
    11,901.84/17,819.48 = 8,970.96/x
  3. Step 3: Cross multiply
    11,901.84x = 17,819.48 × 8,970.96
  4. Step 4: Simplify right side
    11,901.84x = 159,857,842.30
  5. Step 5: Solve for x
    x = 159,857,842.30/11,901.84
  6. Step 6: Final answer
    x = 13,431.36

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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.