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Finding the Fourth Proportional to 27,782.98, 41,687.73 and 12,989.74

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Solution

The fourth proportional to 27,782.98, 41,687.73 and 12,989.74 is: 19,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.98 : 41,687.73 = 12,989.74 : x
  2. Step 2: Convert to fraction form
    27,782.98/41,687.73 = 12,989.74/x
  3. Step 3: Cross multiply
    27,782.98x = 41,687.73 × 12,989.74
  4. Step 4: Simplify right side
    27,782.98x = 541,512,773.89
  5. Step 5: Solve for x
    x = 541,512,773.89/27,782.98
  6. Step 6: Final answer
    x = 19,490.81

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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.