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Finding the Fourth Proportional to 7,714.53, 11,571.81 and 2,784.18

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Solution

The fourth proportional to 7,714.53, 11,571.81 and 2,784.18 is: 4,176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.53 : 11,571.81 = 2,784.18 : x
  2. Step 2: Convert to fraction form
    7,714.53/11,571.81 = 2,784.18/x
  3. Step 3: Cross multiply
    7,714.53x = 11,571.81 × 2,784.18
  4. Step 4: Simplify right side
    7,714.53x = 32,218,001.97
  5. Step 5: Solve for x
    x = 32,218,001.97/7,714.53
  6. Step 6: Final answer
    x = 4,176.28

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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.