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Finding the Fourth Proportional to 11,968.81, 17,953.22 and 3,648.87

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Solution

The fourth proportional to 11,968.81, 17,953.22 and 3,648.87 is: 5,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.81 : 17,953.22 = 3,648.87 : x
  2. Step 2: Convert to fraction form
    11,968.81/17,953.22 = 3,648.87/x
  3. Step 3: Cross multiply
    11,968.81x = 17,953.22 × 3,648.87
  4. Step 4: Simplify right side
    11,968.81x = 65,509,015.21
  5. Step 5: Solve for x
    x = 65,509,015.21/11,968.81
  6. Step 6: Final answer
    x = 5,473.31

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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.