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Finding the Fourth Proportional to 3,157.71, 4,729.28 and 1,768.97

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Solution

The fourth proportional to 3,157.71, 4,729.28 and 1,768.97 is: 2,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.71 : 4,729.28 = 1,768.97 : x
  2. Step 2: Convert to fraction form
    3,157.71/4,729.28 = 1,768.97/x
  3. Step 3: Cross multiply
    3,157.71x = 4,729.28 × 1,768.97
  4. Step 4: Simplify right side
    3,157.71x = 8,365,921.95
  5. Step 5: Solve for x
    x = 8,365,921.95/3,157.71
  6. Step 6: Final answer
    x = 2,649.36

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1.5x scale

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.