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Finding the Fourth Proportional to 2,791.58, 4,184.44 and 942.05

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Solution

The fourth proportional to 2,791.58, 4,184.44 and 942.05 is: 1,412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.58 : 4,184.44 = 942.05 : x
  2. Step 2: Convert to fraction form
    2,791.58/4,184.44 = 942.05/x
  3. Step 3: Cross multiply
    2,791.58x = 4,184.44 × 942.05
  4. Step 4: Simplify right side
    2,791.58x = 3,941,959.81
  5. Step 5: Solve for x
    x = 3,941,959.81/2,791.58
  6. Step 6: Final answer
    x = 1,412.09

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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.