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Finding the Fourth Proportional to 5,096.78, 7,644.76 and 1,809.80

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Solution

The fourth proportional to 5,096.78, 7,644.76 and 1,809.80 is: 2,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.78 : 7,644.76 = 1,809.80 : x
  2. Step 2: Convert to fraction form
    5,096.78/7,644.76 = 1,809.80/x
  3. Step 3: Cross multiply
    5,096.78x = 7,644.76 × 1,809.80
  4. Step 4: Simplify right side
    5,096.78x = 13,835,486.65
  5. Step 5: Solve for x
    x = 13,835,486.65/5,096.78
  6. Step 6: Final answer
    x = 2,714.55

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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.