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Finding the Fourth Proportional to 27,110.34, 40,671.90 and 8,642.34

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Solution

The fourth proportional to 27,110.34, 40,671.90 and 8,642.34 is: 12,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,110.34 : 40,671.90 = 8,642.34 : x
  2. Step 2: Convert to fraction form
    27,110.34/40,671.90 = 8,642.34/x
  3. Step 3: Cross multiply
    27,110.34x = 40,671.90 × 8,642.34
  4. Step 4: Simplify right side
    27,110.34x = 351,500,388.25
  5. Step 5: Solve for x
    x = 351,500,388.25/27,110.34
  6. Step 6: Final answer
    x = 12,965.55

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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.