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Finding the Fourth Proportional to 3,789.54, 5,679.90 and 1,710.60

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Solution

The fourth proportional to 3,789.54, 5,679.90 and 1,710.60 is: 2,563.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.54 : 5,679.90 = 1,710.60 : x
  2. Step 2: Convert to fraction form
    3,789.54/5,679.90 = 1,710.60/x
  3. Step 3: Cross multiply
    3,789.54x = 5,679.90 × 1,710.60
  4. Step 4: Simplify right side
    3,789.54x = 9,716,036.94
  5. Step 5: Solve for x
    x = 9,716,036.94/3,789.54
  6. Step 6: Final answer
    x = 2,563.91

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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.