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Finding the Fourth Proportional to 26,129.50, 39,200.76 and 7,661.50

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Solution

The fourth proportional to 26,129.50, 39,200.76 and 7,661.50 is: 11,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,129.50 : 39,200.76 = 7,661.50 : x
  2. Step 2: Convert to fraction form
    26,129.50/39,200.76 = 7,661.50/x
  3. Step 3: Cross multiply
    26,129.50x = 39,200.76 × 7,661.50
  4. Step 4: Simplify right side
    26,129.50x = 300,336,622.74
  5. Step 5: Solve for x
    x = 300,336,622.74/26,129.50
  6. Step 6: Final answer
    x = 11,494.16

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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.