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Finding the Fourth Proportional to 12,885, 19,320.40 and 3,997.88

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Solution

The fourth proportional to 12,885, 19,320.40 and 3,997.88 is: 5,994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885 : 19,320.40 = 3,997.88 : x
  2. Step 2: Convert to fraction form
    12,885/19,320.40 = 3,997.88/x
  3. Step 3: Cross multiply
    12,885x = 19,320.40 × 3,997.88
  4. Step 4: Simplify right side
    12,885x = 77,240,640.75
  5. Step 5: Solve for x
    x = 77,240,640.75/12,885
  6. Step 6: Final answer
    x = 5,994.62

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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.