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Finding the Fourth Proportional to 34,733, 52,108.24 and 10,109

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Solution

The fourth proportional to 34,733, 52,108.24 and 10,109 is: 15,166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,733 : 52,108.24 = 10,109 : x
  2. Step 2: Convert to fraction form
    34,733/52,108.24 = 10,109/x
  3. Step 3: Cross multiply
    34,733x = 52,108.24 × 10,109
  4. Step 4: Simplify right side
    34,733x = 526,762,198.16
  5. Step 5: Solve for x
    x = 526,762,198.16/34,733
  6. Step 6: Final answer
    x = 15,166.04

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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.