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Finding the Fourth Proportional to 2,601.76, 3,902.76 and 1,809.58

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Solution

The fourth proportional to 2,601.76, 3,902.76 and 1,809.58 is: 2,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.76 : 3,902.76 = 1,809.58 : x
  2. Step 2: Convert to fraction form
    2,601.76/3,902.76 = 1,809.58/x
  3. Step 3: Cross multiply
    2,601.76x = 3,902.76 × 1,809.58
  4. Step 4: Simplify right side
    2,601.76x = 7,062,356.44
  5. Step 5: Solve for x
    x = 7,062,356.44/2,601.76
  6. Step 6: Final answer
    x = 2,714.45

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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.