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Finding the Fourth Proportional to 29,678, 44,521.38 and 8,618.20

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Solution

The fourth proportional to 29,678, 44,521.38 and 8,618.20 is: 12,928.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678 : 44,521.38 = 8,618.20 : x
  2. Step 2: Convert to fraction form
    29,678/44,521.38 = 8,618.20/x
  3. Step 3: Cross multiply
    29,678x = 44,521.38 × 8,618.20
  4. Step 4: Simplify right side
    29,678x = 383,694,157.12
  5. Step 5: Solve for x
    x = 383,694,157.12/29,678
  6. Step 6: Final answer
    x = 12,928.57

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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.