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Finding the Fourth Proportional to 19,819.52, 29,709.84 and 11,061.84

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Solution

The fourth proportional to 19,819.52, 29,709.84 and 11,061.84 is: 16,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819.52 : 29,709.84 = 11,061.84 : x
  2. Step 2: Convert to fraction form
    19,819.52/29,709.84 = 11,061.84/x
  3. Step 3: Cross multiply
    19,819.52x = 29,709.84 × 11,061.84
  4. Step 4: Simplify right side
    19,819.52x = 328,645,496.51
  5. Step 5: Solve for x
    x = 328,645,496.51/19,819.52
  6. Step 6: Final answer
    x = 16,581.91

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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.