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Finding the Fourth Proportional to 1,778.52, 2,664.54 and 1,739.64

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Solution

The fourth proportional to 1,778.52, 2,664.54 and 1,739.64 is: 2,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.52 : 2,664.54 = 1,739.64 : x
  2. Step 2: Convert to fraction form
    1,778.52/2,664.54 = 1,739.64/x
  3. Step 3: Cross multiply
    1,778.52x = 2,664.54 × 1,739.64
  4. Step 4: Simplify right side
    1,778.52x = 4,635,340.37
  5. Step 5: Solve for x
    x = 4,635,340.37/1,778.52
  6. Step 6: Final answer
    x = 2,606.29

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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.