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Finding the Fourth Proportional to 26,790, 40,177.26 and 9,018.72

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Solution

The fourth proportional to 26,790, 40,177.26 and 9,018.72 is: 13,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,790 : 40,177.26 = 9,018.72 : x
  2. Step 2: Convert to fraction form
    26,790/40,177.26 = 9,018.72/x
  3. Step 3: Cross multiply
    26,790x = 40,177.26 × 9,018.72
  4. Step 4: Simplify right side
    26,790x = 362,347,458.31
  5. Step 5: Solve for x
    x = 362,347,458.31/26,790
  6. Step 6: Final answer
    x = 13,525.47

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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.