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Finding the Fourth Proportional to 2,383.98, 3,576.35 and 1,213.50

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Solution

The fourth proportional to 2,383.98, 3,576.35 and 1,213.50 is: 1,820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.98 : 3,576.35 = 1,213.50 : x
  2. Step 2: Convert to fraction form
    2,383.98/3,576.35 = 1,213.50/x
  3. Step 3: Cross multiply
    2,383.98x = 3,576.35 × 1,213.50
  4. Step 4: Simplify right side
    2,383.98x = 4,339,900.73
  5. Step 5: Solve for x
    x = 4,339,900.73/2,383.98
  6. Step 6: Final answer
    x = 1,820.44

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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.