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Finding the Fourth Proportional to 2,142.75, 3,214.26 and 603.87

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Solution

The fourth proportional to 2,142.75, 3,214.26 and 603.87 is: 905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.75 : 3,214.26 = 603.87 : x
  2. Step 2: Convert to fraction form
    2,142.75/3,214.26 = 603.87/x
  3. Step 3: Cross multiply
    2,142.75x = 3,214.26 × 603.87
  4. Step 4: Simplify right side
    2,142.75x = 1,940,995.19
  5. Step 5: Solve for x
    x = 1,940,995.19/2,142.75
  6. Step 6: Final answer
    x = 905.84

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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.