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Finding the Fourth Proportional to 22,782.16, 34,173.54 and 7,991.51

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Solution

The fourth proportional to 22,782.16, 34,173.54 and 7,991.51 is: 11,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.16 : 34,173.54 = 7,991.51 : x
  2. Step 2: Convert to fraction form
    22,782.16/34,173.54 = 7,991.51/x
  3. Step 3: Cross multiply
    22,782.16x = 34,173.54 × 7,991.51
  4. Step 4: Simplify right side
    22,782.16x = 273,098,015.78
  5. Step 5: Solve for x
    x = 273,098,015.78/22,782.16
  6. Step 6: Final answer
    x = 11,987.36

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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.