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Finding the Fourth Proportional to 5,171.53, 7,758.00 and 1,660.37

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Solution

The fourth proportional to 5,171.53, 7,758.00 and 1,660.37 is: 2,490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.53 : 7,758.00 = 1,660.37 : x
  2. Step 2: Convert to fraction form
    5,171.53/7,758.00 = 1,660.37/x
  3. Step 3: Cross multiply
    5,171.53x = 7,758.00 × 1,660.37
  4. Step 4: Simplify right side
    5,171.53x = 12,881,181.80
  5. Step 5: Solve for x
    x = 12,881,181.80/5,171.53
  6. Step 6: Final answer
    x = 2,490.79

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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.