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Finding the Fourth Proportional to 3,091.80, 4,266.18 and 1,912.80

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Solution

The fourth proportional to 3,091.80, 4,266.18 and 1,912.80 is: 2,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.80 : 4,266.18 = 1,912.80 : x
  2. Step 2: Convert to fraction form
    3,091.80/4,266.18 = 1,912.80/x
  3. Step 3: Cross multiply
    3,091.80x = 4,266.18 × 1,912.80
  4. Step 4: Simplify right side
    3,091.80x = 8,160,349.10
  5. Step 5: Solve for x
    x = 8,160,349.10/3,091.80
  6. Step 6: Final answer
    x = 2,639.35

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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.