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Finding the Fourth Proportional to 2,147.63, 3,221.84 and 608.63

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Solution

The fourth proportional to 2,147.63, 3,221.84 and 608.63 is: 913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.63 : 3,221.84 = 608.63 : x
  2. Step 2: Convert to fraction form
    2,147.63/3,221.84 = 608.63/x
  3. Step 3: Cross multiply
    2,147.63x = 3,221.84 × 608.63
  4. Step 4: Simplify right side
    2,147.63x = 1,960,893.89
  5. Step 5: Solve for x
    x = 1,960,893.89/2,147.63
  6. Step 6: Final answer
    x = 913.05

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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.