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Finding the Fourth Proportional to 2,438.56, 3,661 and 2,094.12

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Solution

The fourth proportional to 2,438.56, 3,661 and 2,094.12 is: 3,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.56 : 3,661 = 2,094.12 : x
  2. Step 2: Convert to fraction form
    2,438.56/3,661 = 2,094.12/x
  3. Step 3: Cross multiply
    2,438.56x = 3,661 × 2,094.12
  4. Step 4: Simplify right side
    2,438.56x = 7,666,573.32
  5. Step 5: Solve for x
    x = 7,666,573.32/2,438.56
  6. Step 6: Final answer
    x = 3,143.89

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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.