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Finding the Fourth Proportional to 2,493.08, 3,739.60 and 761.72

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Solution

The fourth proportional to 2,493.08, 3,739.60 and 761.72 is: 1,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.08 : 3,739.60 = 761.72 : x
  2. Step 2: Convert to fraction form
    2,493.08/3,739.60 = 761.72/x
  3. Step 3: Cross multiply
    2,493.08x = 3,739.60 × 761.72
  4. Step 4: Simplify right side
    2,493.08x = 2,848,528.11
  5. Step 5: Solve for x
    x = 2,848,528.11/2,493.08
  6. Step 6: Final answer
    x = 1,142.57

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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.