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Finding the Fourth Proportional to 3,157.75, 4,357 and 1,881.60

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Solution

The fourth proportional to 3,157.75, 4,357 and 1,881.60 is: 2,596.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.75 : 4,357 = 1,881.60 : x
  2. Step 2: Convert to fraction form
    3,157.75/4,357 = 1,881.60/x
  3. Step 3: Cross multiply
    3,157.75x = 4,357 × 1,881.60
  4. Step 4: Simplify right side
    3,157.75x = 8,198,131.20
  5. Step 5: Solve for x
    x = 8,198,131.20/3,157.75
  6. Step 6: Final answer
    x = 2,596.19

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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.