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Finding the Fourth Proportional to 2,741.70, 4,107.15 and 1,642.80

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Solution

The fourth proportional to 2,741.70, 4,107.15 and 1,642.80 is: 2,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.70 : 4,107.15 = 1,642.80 : x
  2. Step 2: Convert to fraction form
    2,741.70/4,107.15 = 1,642.80/x
  3. Step 3: Cross multiply
    2,741.70x = 4,107.15 × 1,642.80
  4. Step 4: Simplify right side
    2,741.70x = 6,747,226.02
  5. Step 5: Solve for x
    x = 6,747,226.02/2,741.70
  6. Step 6: Final answer
    x = 2,460.96

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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.