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Finding the Fourth Proportional to 11,970.29, 17,955.41 and 5,388.78

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Solution

The fourth proportional to 11,970.29, 17,955.41 and 5,388.78 is: 8,083.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.29 : 17,955.41 = 5,388.78 : x
  2. Step 2: Convert to fraction form
    11,970.29/17,955.41 = 5,388.78/x
  3. Step 3: Cross multiply
    11,970.29x = 17,955.41 × 5,388.78
  4. Step 4: Simplify right side
    11,970.29x = 96,757,727.36
  5. Step 5: Solve for x
    x = 96,757,727.36/11,970.29
  6. Step 6: Final answer
    x = 8,083.16

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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.