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Finding the Fourth Proportional to 2,142.53, 3,213.32 and 603.65

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Solution

The fourth proportional to 2,142.53, 3,213.32 and 603.65 is: 905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.53 : 3,213.32 = 603.65 : x
  2. Step 2: Convert to fraction form
    2,142.53/3,213.32 = 603.65/x
  3. Step 3: Cross multiply
    2,142.53x = 3,213.32 × 603.65
  4. Step 4: Simplify right side
    2,142.53x = 1,939,717.60
  5. Step 5: Solve for x
    x = 1,939,717.60/2,142.53
  6. Step 6: Final answer
    x = 905.34

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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.