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Finding the Fourth Proportional to 3,071.57, 4,238.78 and 1,745.71

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Solution

The fourth proportional to 3,071.57, 4,238.78 and 1,745.71 is: 2,409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.57 : 4,238.78 = 1,745.71 : x
  2. Step 2: Convert to fraction form
    3,071.57/4,238.78 = 1,745.71/x
  3. Step 3: Cross multiply
    3,071.57x = 4,238.78 × 1,745.71
  4. Step 4: Simplify right side
    3,071.57x = 7,399,661.31
  5. Step 5: Solve for x
    x = 7,399,661.31/3,071.57
  6. Step 6: Final answer
    x = 2,409.09

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1.5x scale

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.