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Finding the Fourth Proportional to 2,142.50, 3,213.90 and 603.62

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Solution

The fourth proportional to 2,142.50, 3,213.90 and 603.62 is: 905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.50 : 3,213.90 = 603.62 : x
  2. Step 2: Convert to fraction form
    2,142.50/3,213.90 = 603.62/x
  3. Step 3: Cross multiply
    2,142.50x = 3,213.90 × 603.62
  4. Step 4: Simplify right side
    2,142.50x = 1,939,974.32
  5. Step 5: Solve for x
    x = 1,939,974.32/2,142.50
  6. Step 6: Final answer
    x = 905.47

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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.