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Finding the Fourth Proportional to 1,745.71, 2,619.77 and 1,129.71

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Solution

The fourth proportional to 1,745.71, 2,619.77 and 1,129.71 is: 1,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.71 : 2,619.77 = 1,129.71 : x
  2. Step 2: Convert to fraction form
    1,745.71/2,619.77 = 1,129.71/x
  3. Step 3: Cross multiply
    1,745.71x = 2,619.77 × 1,129.71
  4. Step 4: Simplify right side
    1,745.71x = 2,959,580.37
  5. Step 5: Solve for x
    x = 2,959,580.37/1,745.71
  6. Step 6: Final answer
    x = 1,695.34

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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.