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Finding the Fourth Proportional to 26,293, 39,439.77 and 7,825

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Solution

The fourth proportional to 26,293, 39,439.77 and 7,825 is: 11,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,293 : 39,439.77 = 7,825 : x
  2. Step 2: Convert to fraction form
    26,293/39,439.77 = 7,825/x
  3. Step 3: Cross multiply
    26,293x = 39,439.77 × 7,825
  4. Step 4: Simplify right side
    26,293x = 308,616,200.25
  5. Step 5: Solve for x
    x = 308,616,200.25/26,293
  6. Step 6: Final answer
    x = 11,737.58

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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.