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Finding the Fourth Proportional to 13,285.84, 19,937.82 and 8,608

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Solution

The fourth proportional to 13,285.84, 19,937.82 and 8,608 is: 12,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285.84 : 19,937.82 = 8,608 : x
  2. Step 2: Convert to fraction form
    13,285.84/19,937.82 = 8,608/x
  3. Step 3: Cross multiply
    13,285.84x = 19,937.82 × 8,608
  4. Step 4: Simplify right side
    13,285.84x = 171,624,754.56
  5. Step 5: Solve for x
    x = 171,624,754.56/13,285.84
  6. Step 6: Final answer
    x = 12,917.87

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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.