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Finding the Fourth Proportional to 3,138.75, 4,331.48 and 1,741.77

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Solution

The fourth proportional to 3,138.75, 4,331.48 and 1,741.77 is: 2,403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.75 : 4,331.48 = 1,741.77 : x
  2. Step 2: Convert to fraction form
    3,138.75/4,331.48 = 1,741.77/x
  3. Step 3: Cross multiply
    3,138.75x = 4,331.48 × 1,741.77
  4. Step 4: Simplify right side
    3,138.75x = 7,544,433.21
  5. Step 5: Solve for x
    x = 7,544,433.21/3,138.75
  6. Step 6: Final answer
    x = 2,403.64

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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.