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Finding the Fourth Proportional to 11,978.04, 17,971.38 and 4,189.08

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Solution

The fourth proportional to 11,978.04, 17,971.38 and 4,189.08 is: 6,285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.04 : 17,971.38 = 4,189.08 : x
  2. Step 2: Convert to fraction form
    11,978.04/17,971.38 = 4,189.08/x
  3. Step 3: Cross multiply
    11,978.04x = 17,971.38 × 4,189.08
  4. Step 4: Simplify right side
    11,978.04x = 75,283,548.53
  5. Step 5: Solve for x
    x = 75,283,548.53/11,978.04
  6. Step 6: Final answer
    x = 6,285.13

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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.