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Finding the Fourth Proportional to 26,918.25, 40,381.98 and 9,147.03

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Solution

The fourth proportional to 26,918.25, 40,381.98 and 9,147.03 is: 13,722.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,918.25 : 40,381.98 = 9,147.03 : x
  2. Step 2: Convert to fraction form
    26,918.25/40,381.98 = 9,147.03/x
  3. Step 3: Cross multiply
    26,918.25x = 40,381.98 × 9,147.03
  4. Step 4: Simplify right side
    26,918.25x = 369,375,182.52
  5. Step 5: Solve for x
    x = 369,375,182.52/26,918.25
  6. Step 6: Final answer
    x = 13,722.11

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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.