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Finding the Fourth Proportional to 12,719, 19,079.82 and 3,485

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Solution

The fourth proportional to 12,719, 19,079.82 and 3,485 is: 5,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,719 : 19,079.82 = 3,485 : x
  2. Step 2: Convert to fraction form
    12,719/19,079.82 = 3,485/x
  3. Step 3: Cross multiply
    12,719x = 19,079.82 × 3,485
  4. Step 4: Simplify right side
    12,719x = 66,493,172.70
  5. Step 5: Solve for x
    x = 66,493,172.70/12,719
  6. Step 6: Final answer
    x = 5,227.86

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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.