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Finding the Fourth Proportional to 2,660.76, 3,670.41 and 1,665.83

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Solution

The fourth proportional to 2,660.76, 3,670.41 and 1,665.83 is: 2,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.76 : 3,670.41 = 1,665.83 : x
  2. Step 2: Convert to fraction form
    2,660.76/3,670.41 = 1,665.83/x
  3. Step 3: Cross multiply
    2,660.76x = 3,670.41 × 1,665.83
  4. Step 4: Simplify right side
    2,660.76x = 6,114,260.74
  5. Step 5: Solve for x
    x = 6,114,260.74/2,660.76
  6. Step 6: Final answer
    x = 2,297.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.