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Finding the Fourth Proportional to 7,809.09, 11,714.87 and 3,368.03

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Solution

The fourth proportional to 7,809.09, 11,714.87 and 3,368.03 is: 5,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.09 : 11,714.87 = 3,368.03 : x
  2. Step 2: Convert to fraction form
    7,809.09/11,714.87 = 3,368.03/x
  3. Step 3: Cross multiply
    7,809.09x = 11,714.87 × 3,368.03
  4. Step 4: Simplify right side
    7,809.09x = 39,455,958.19
  5. Step 5: Solve for x
    x = 39,455,958.19/7,809.09
  6. Step 6: Final answer
    x = 5,052.57

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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.