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Finding the Fourth Proportional to 3,131.55, 4,321.53 and 1,734.30

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Solution

The fourth proportional to 3,131.55, 4,321.53 and 1,734.30 is: 2,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.55 : 4,321.53 = 1,734.30 : x
  2. Step 2: Convert to fraction form
    3,131.55/4,321.53 = 1,734.30/x
  3. Step 3: Cross multiply
    3,131.55x = 4,321.53 × 1,734.30
  4. Step 4: Simplify right side
    3,131.55x = 7,494,829.48
  5. Step 5: Solve for x
    x = 7,494,829.48/3,131.55
  6. Step 6: Final answer
    x = 2,393.33

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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.