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Finding the Fourth Proportional to 26,874.78, 40,310 and 9,342.06

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Solution

The fourth proportional to 26,874.78, 40,310 and 9,342.06 is: 14,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,874.78 : 40,310 = 9,342.06 : x
  2. Step 2: Convert to fraction form
    26,874.78/40,310 = 9,342.06/x
  3. Step 3: Cross multiply
    26,874.78x = 40,310 × 9,342.06
  4. Step 4: Simplify right side
    26,874.78x = 376,578,438.60
  5. Step 5: Solve for x
    x = 376,578,438.60/26,874.78
  6. Step 6: Final answer
    x = 14,012.34

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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.