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Finding the Fourth Proportional to 19,919.84, 27,486.20 and 11,420.44

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Solution

The fourth proportional to 19,919.84, 27,486.20 and 11,420.44 is: 15,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,919.84 : 27,486.20 = 11,420.44 : x
  2. Step 2: Convert to fraction form
    19,919.84/27,486.20 = 11,420.44/x
  3. Step 3: Cross multiply
    19,919.84x = 27,486.20 × 11,420.44
  4. Step 4: Simplify right side
    19,919.84x = 313,904,612.37
  5. Step 5: Solve for x
    x = 313,904,612.37/19,919.84
  6. Step 6: Final answer
    x = 15,758.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.