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Finding the Fourth Proportional to 34,685.10, 52,027.67 and 8,389.87

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Solution

The fourth proportional to 34,685.10, 52,027.67 and 8,389.87 is: 12,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,685.10 : 52,027.67 = 8,389.87 : x
  2. Step 2: Convert to fraction form
    34,685.10/52,027.67 = 8,389.87/x
  3. Step 3: Cross multiply
    34,685.10x = 52,027.67 × 8,389.87
  4. Step 4: Simplify right side
    34,685.10x = 436,505,387.70
  5. Step 5: Solve for x
    x = 436,505,387.70/34,685.10
  6. Step 6: Final answer
    x = 12,584.81

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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.