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Finding the Fourth Proportional to 38,774, 58,163.16 and 11,074.16

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Solution

The fourth proportional to 38,774, 58,163.16 and 11,074.16 is: 16,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,774 : 58,163.16 = 11,074.16 : x
  2. Step 2: Convert to fraction form
    38,774/58,163.16 = 11,074.16/x
  3. Step 3: Cross multiply
    38,774x = 58,163.16 × 11,074.16
  4. Step 4: Simplify right side
    38,774x = 644,108,139.95
  5. Step 5: Solve for x
    x = 644,108,139.95/38,774
  6. Step 6: Final answer
    x = 16,611.86

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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.