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Finding the Fourth Proportional to 38,283.44, 57,428.19 and 11,988

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Solution

The fourth proportional to 38,283.44, 57,428.19 and 11,988 is: 17,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,283.44 : 57,428.19 = 11,988 : x
  2. Step 2: Convert to fraction form
    38,283.44/57,428.19 = 11,988/x
  3. Step 3: Cross multiply
    38,283.44x = 57,428.19 × 11,988
  4. Step 4: Simplify right side
    38,283.44x = 688,449,141.72
  5. Step 5: Solve for x
    x = 688,449,141.72/38,283.44
  6. Step 6: Final answer
    x = 17,982.95

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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.