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Finding the Fourth Proportional to 3,078, 4,236.30 and 2,542.59

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Solution

The fourth proportional to 3,078, 4,236.30 and 2,542.59 is: 3,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078 : 4,236.30 = 2,542.59 : x
  2. Step 2: Convert to fraction form
    3,078/4,236.30 = 2,542.59/x
  3. Step 3: Cross multiply
    3,078x = 4,236.30 × 2,542.59
  4. Step 4: Simplify right side
    3,078x = 10,771,174.02
  5. Step 5: Solve for x
    x = 10,771,174.02/3,078
  6. Step 6: Final answer
    x = 3,499.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.