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Finding the Fourth Proportional to 11,889, 17,843.18 and 6,047.28

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Solution

The fourth proportional to 11,889, 17,843.18 and 6,047.28 is: 9,075.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889 : 17,843.18 = 6,047.28 : x
  2. Step 2: Convert to fraction form
    11,889/17,843.18 = 6,047.28/x
  3. Step 3: Cross multiply
    11,889x = 17,843.18 × 6,047.28
  4. Step 4: Simplify right side
    11,889x = 107,902,675.31
  5. Step 5: Solve for x
    x = 107,902,675.31/11,889
  6. Step 6: Final answer
    x = 9,075.84

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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.