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Finding the Fourth Proportional to 26,181, 36,129.78 and 15,003

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Solution

The fourth proportional to 26,181, 36,129.78 and 15,003 is: 20,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,181 : 36,129.78 = 15,003 : x
  2. Step 2: Convert to fraction form
    26,181/36,129.78 = 15,003/x
  3. Step 3: Cross multiply
    26,181x = 36,129.78 × 15,003
  4. Step 4: Simplify right side
    26,181x = 542,055,089.34
  5. Step 5: Solve for x
    x = 542,055,089.34/26,181
  6. Step 6: Final answer
    x = 20,704.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.