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Finding the Fourth Proportional to 3,191.88, 4,407.42 and 3,028.80

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Solution

The fourth proportional to 3,191.88, 4,407.42 and 3,028.80 is: 4,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.88 : 4,407.42 = 3,028.80 : x
  2. Step 2: Convert to fraction form
    3,191.88/4,407.42 = 3,028.80/x
  3. Step 3: Cross multiply
    3,191.88x = 4,407.42 × 3,028.80
  4. Step 4: Simplify right side
    3,191.88x = 13,349,193.70
  5. Step 5: Solve for x
    x = 13,349,193.70/3,191.88
  6. Step 6: Final answer
    x = 4,182.24

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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.