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Finding the Fourth Proportional to 18,633.31, 27,938.22 and 7,946.98

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Solution

The fourth proportional to 18,633.31, 27,938.22 and 7,946.98 is: 11,915.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,633.31 : 27,938.22 = 7,946.98 : x
  2. Step 2: Convert to fraction form
    18,633.31/27,938.22 = 7,946.98/x
  3. Step 3: Cross multiply
    18,633.31x = 27,938.22 × 7,946.98
  4. Step 4: Simplify right side
    18,633.31x = 222,024,475.58
  5. Step 5: Solve for x
    x = 222,024,475.58/18,633.31
  6. Step 6: Final answer
    x = 11,915.46

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1.5x scale

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.