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Finding the Fourth Proportional to 26,857.74, 40,287 and 9,327.98

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Solution

The fourth proportional to 26,857.74, 40,287 and 9,327.98 is: 13,992.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,857.74 : 40,287 = 9,327.98 : x
  2. Step 2: Convert to fraction form
    26,857.74/40,287 = 9,327.98/x
  3. Step 3: Cross multiply
    26,857.74x = 40,287 × 9,327.98
  4. Step 4: Simplify right side
    26,857.74x = 375,796,330.26
  5. Step 5: Solve for x
    x = 375,796,330.26/26,857.74
  6. Step 6: Final answer
    x = 13,992.11

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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.