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Finding the Fourth Proportional to 2,493.26, 3,739.90 and 761.90

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Solution

The fourth proportional to 2,493.26, 3,739.90 and 761.90 is: 1,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.26 : 3,739.90 = 761.90 : x
  2. Step 2: Convert to fraction form
    2,493.26/3,739.90 = 761.90/x
  3. Step 3: Cross multiply
    2,493.26x = 3,739.90 × 761.90
  4. Step 4: Simplify right side
    2,493.26x = 2,849,429.81
  5. Step 5: Solve for x
    x = 2,849,429.81/2,493.26
  6. Step 6: Final answer
    x = 1,142.85

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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.