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Finding the Fourth Proportional to 15,991.25, 23,975.64 and 7,101.77

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Solution

The fourth proportional to 15,991.25, 23,975.64 and 7,101.77 is: 10,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,991.25 : 23,975.64 = 7,101.77 : x
  2. Step 2: Convert to fraction form
    15,991.25/23,975.64 = 7,101.77/x
  3. Step 3: Cross multiply
    15,991.25x = 23,975.64 × 7,101.77
  4. Step 4: Simplify right side
    15,991.25x = 170,269,361.00
  5. Step 5: Solve for x
    x = 170,269,361.00/15,991.25
  6. Step 6: Final answer
    x = 10,647.66

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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.