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Finding the Fourth Proportional to 29,406, 44,109 and 8,629.50

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Solution

The fourth proportional to 29,406, 44,109 and 8,629.50 is: 12,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406 : 44,109 = 8,629.50 : x
  2. Step 2: Convert to fraction form
    29,406/44,109 = 8,629.50/x
  3. Step 3: Cross multiply
    29,406x = 44,109 × 8,629.50
  4. Step 4: Simplify right side
    29,406x = 380,638,615.50
  5. Step 5: Solve for x
    x = 380,638,615.50/29,406
  6. Step 6: Final answer
    x = 12,944.25

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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.