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Finding the Fourth Proportional to 2,125.91, 3,189.32 and 645

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Solution

The fourth proportional to 2,125.91, 3,189.32 and 645 is: 967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.91 : 3,189.32 = 645 : x
  2. Step 2: Convert to fraction form
    2,125.91/3,189.32 = 645/x
  3. Step 3: Cross multiply
    2,125.91x = 3,189.32 × 645
  4. Step 4: Simplify right side
    2,125.91x = 2,057,108.18
  5. Step 5: Solve for x
    x = 2,057,108.18/2,125.91
  6. Step 6: Final answer
    x = 967.64

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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.