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Finding the Fourth Proportional to 11,853.48, 17,784.44 and 5,279.08

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Solution

The fourth proportional to 11,853.48, 17,784.44 and 5,279.08 is: 7,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.48 : 17,784.44 = 5,279.08 : x
  2. Step 2: Convert to fraction form
    11,853.48/17,784.44 = 5,279.08/x
  3. Step 3: Cross multiply
    11,853.48x = 17,784.44 × 5,279.08
  4. Step 4: Simplify right side
    11,853.48x = 93,885,481.52
  5. Step 5: Solve for x
    x = 93,885,481.52/11,853.48
  6. Step 6: Final answer
    x = 7,920.50

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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.