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Finding the Fourth Proportional to 13,355.84, 19,983.54 and 8,202.62

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Solution

The fourth proportional to 13,355.84, 19,983.54 and 8,202.62 is: 12,273.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,355.84 : 19,983.54 = 8,202.62 : x
  2. Step 2: Convert to fraction form
    13,355.84/19,983.54 = 8,202.62/x
  3. Step 3: Cross multiply
    13,355.84x = 19,983.54 × 8,202.62
  4. Step 4: Simplify right side
    13,355.84x = 163,917,384.87
  5. Step 5: Solve for x
    x = 163,917,384.87/13,355.84
  6. Step 6: Final answer
    x = 12,273.09

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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.