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Finding the Fourth Proportional to 26,291, 39,436.77 and 7,823

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Solution

The fourth proportional to 26,291, 39,436.77 and 7,823 is: 11,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,291 : 39,436.77 = 7,823 : x
  2. Step 2: Convert to fraction form
    26,291/39,436.77 = 7,823/x
  3. Step 3: Cross multiply
    26,291x = 39,436.77 × 7,823
  4. Step 4: Simplify right side
    26,291x = 308,513,851.71
  5. Step 5: Solve for x
    x = 308,513,851.71/26,291
  6. Step 6: Final answer
    x = 11,734.58

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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.