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Finding the Fourth Proportional to 7,714.64, 11,577 and 3,098

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Solution

The fourth proportional to 7,714.64, 11,577 and 3,098 is: 4,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.64 : 11,577 = 3,098 : x
  2. Step 2: Convert to fraction form
    7,714.64/11,577 = 3,098/x
  3. Step 3: Cross multiply
    7,714.64x = 11,577 × 3,098
  4. Step 4: Simplify right side
    7,714.64x = 35,865,546
  5. Step 5: Solve for x
    x = 35,865,546/7,714.64
  6. Step 6: Final answer
    x = 4,649.02

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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.