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Finding the Fourth Proportional to 2,143.53, 3,214.81 and 604.65

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Solution

The fourth proportional to 2,143.53, 3,214.81 and 604.65 is: 906.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.53 : 3,214.81 = 604.65 : x
  2. Step 2: Convert to fraction form
    2,143.53/3,214.81 = 604.65/x
  3. Step 3: Cross multiply
    2,143.53x = 3,214.81 × 604.65
  4. Step 4: Simplify right side
    2,143.53x = 1,943,834.87
  5. Step 5: Solve for x
    x = 1,943,834.87/2,143.53
  6. Step 6: Final answer
    x = 906.84

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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.