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Finding the Fourth Proportional to 3,290.94, 4,938.26 and 1,342.71

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Solution

The fourth proportional to 3,290.94, 4,938.26 and 1,342.71 is: 2,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.94 : 4,938.26 = 1,342.71 : x
  2. Step 2: Convert to fraction form
    3,290.94/4,938.26 = 1,342.71/x
  3. Step 3: Cross multiply
    3,290.94x = 4,938.26 × 1,342.71
  4. Step 4: Simplify right side
    3,290.94x = 6,630,644.37
  5. Step 5: Solve for x
    x = 6,630,644.37/3,290.94
  6. Step 6: Final answer
    x = 2,014.82

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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.