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Finding the Fourth Proportional to 13,015.50, 19,523.25 and 3,781.50

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Solution

The fourth proportional to 13,015.50, 19,523.25 and 3,781.50 is: 5,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.50 : 19,523.25 = 3,781.50 : x
  2. Step 2: Convert to fraction form
    13,015.50/19,523.25 = 3,781.50/x
  3. Step 3: Cross multiply
    13,015.50x = 19,523.25 × 3,781.50
  4. Step 4: Simplify right side
    13,015.50x = 73,827,169.88
  5. Step 5: Solve for x
    x = 73,827,169.88/13,015.50
  6. Step 6: Final answer
    x = 5,672.25

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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.