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Finding the Fourth Proportional to 21,782.74, 30,059.96 and 11,846.74

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Solution

The fourth proportional to 21,782.74, 30,059.96 and 11,846.74 is: 16,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.74 : 30,059.96 = 11,846.74 : x
  2. Step 2: Convert to fraction form
    21,782.74/30,059.96 = 11,846.74/x
  3. Step 3: Cross multiply
    21,782.74x = 30,059.96 × 11,846.74
  4. Step 4: Simplify right side
    21,782.74x = 356,112,530.53
  5. Step 5: Solve for x
    x = 356,112,530.53/21,782.74
  6. Step 6: Final answer
    x = 16,348.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.