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Finding the Fourth Proportional to 12,759, 19,138.74 and 3,525.24

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Solution

The fourth proportional to 12,759, 19,138.74 and 3,525.24 is: 5,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,759 : 19,138.74 = 3,525.24 : x
  2. Step 2: Convert to fraction form
    12,759/19,138.74 = 3,525.24/x
  3. Step 3: Cross multiply
    12,759x = 19,138.74 × 3,525.24
  4. Step 4: Simplify right side
    12,759x = 67,468,651.80
  5. Step 5: Solve for x
    x = 67,468,651.80/12,759
  6. Step 6: Final answer
    x = 5,287.93

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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.