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Finding the Fourth Proportional to 38,285, 57,427.50 and 10,583

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Solution

The fourth proportional to 38,285, 57,427.50 and 10,583 is: 15,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,285 : 57,427.50 = 10,583 : x
  2. Step 2: Convert to fraction form
    38,285/57,427.50 = 10,583/x
  3. Step 3: Cross multiply
    38,285x = 57,427.50 × 10,583
  4. Step 4: Simplify right side
    38,285x = 607,755,232.50
  5. Step 5: Solve for x
    x = 607,755,232.50/38,285
  6. Step 6: Final answer
    x = 15,874.50

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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.