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Finding the Fourth Proportional to 11,714.39, 17,581.98 and 5,477.80

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Solution

The fourth proportional to 11,714.39, 17,581.98 and 5,477.80 is: 8,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.39 : 17,581.98 = 5,477.80 : x
  2. Step 2: Convert to fraction form
    11,714.39/17,581.98 = 5,477.80/x
  3. Step 3: Cross multiply
    11,714.39x = 17,581.98 × 5,477.80
  4. Step 4: Simplify right side
    11,714.39x = 96,310,482.13
  5. Step 5: Solve for x
    x = 96,310,482.13/11,714.39
  6. Step 6: Final answer
    x = 8,221.55

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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.