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Finding the Fourth Proportional to 12,721, 19,081.86 and 3,487

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Solution

The fourth proportional to 12,721, 19,081.86 and 3,487 is: 5,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,721 : 19,081.86 = 3,487 : x
  2. Step 2: Convert to fraction form
    12,721/19,081.86 = 3,487/x
  3. Step 3: Cross multiply
    12,721x = 19,081.86 × 3,487
  4. Step 4: Simplify right side
    12,721x = 66,538,445.82
  5. Step 5: Solve for x
    x = 66,538,445.82/12,721
  6. Step 6: Final answer
    x = 5,230.60

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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.