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Finding the Fourth Proportional to 26,190.24, 39,278.88 and 7,722.24

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Solution

The fourth proportional to 26,190.24, 39,278.88 and 7,722.24 is: 11,581.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,190.24 : 39,278.88 = 7,722.24 : x
  2. Step 2: Convert to fraction form
    26,190.24/39,278.88 = 7,722.24/x
  3. Step 3: Cross multiply
    26,190.24x = 39,278.88 × 7,722.24
  4. Step 4: Simplify right side
    26,190.24x = 303,320,938.29
  5. Step 5: Solve for x
    x = 303,320,938.29/26,190.24
  6. Step 6: Final answer
    x = 11,581.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.