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Finding the Fourth Proportional to 26,129.48, 39,194.78 and 7,661.48

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Solution

The fourth proportional to 26,129.48, 39,194.78 and 7,661.48 is: 11,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,129.48 : 39,194.78 = 7,661.48 : x
  2. Step 2: Convert to fraction form
    26,129.48/39,194.78 = 7,661.48/x
  3. Step 3: Cross multiply
    26,129.48x = 39,194.78 × 7,661.48
  4. Step 4: Simplify right side
    26,129.48x = 300,290,023.07
  5. Step 5: Solve for x
    x = 300,290,023.07/26,129.48
  6. Step 6: Final answer
    x = 11,492.38

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1.5x scale

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.