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Finding the Fourth Proportional to 27,039, 40,560.34 and 8,317.88

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Solution

The fourth proportional to 27,039, 40,560.34 and 8,317.88 is: 12,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,039 : 40,560.34 = 8,317.88 : x
  2. Step 2: Convert to fraction form
    27,039/40,560.34 = 8,317.88/x
  3. Step 3: Cross multiply
    27,039x = 40,560.34 × 8,317.88
  4. Step 4: Simplify right side
    27,039x = 337,376,040.88
  5. Step 5: Solve for x
    x = 337,376,040.88/27,039
  6. Step 6: Final answer
    x = 12,477.39

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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.