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Finding the Fourth Proportional to 12,998.91, 19,494.91 and 3,638.35

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Solution

The fourth proportional to 12,998.91, 19,494.91 and 3,638.35 is: 5,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.91 : 19,494.91 = 3,638.35 : x
  2. Step 2: Convert to fraction form
    12,998.91/19,494.91 = 3,638.35/x
  3. Step 3: Cross multiply
    12,998.91x = 19,494.91 × 3,638.35
  4. Step 4: Simplify right side
    12,998.91x = 70,929,334.72
  5. Step 5: Solve for x
    x = 70,929,334.72/12,998.91
  6. Step 6: Final answer
    x = 5,456.56

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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.