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Finding the Fourth Proportional to 2,143.83, 3,216.09 and 757.38

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Solution

The fourth proportional to 2,143.83, 3,216.09 and 757.38 is: 1,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.83 : 3,216.09 = 757.38 : x
  2. Step 2: Convert to fraction form
    2,143.83/3,216.09 = 757.38/x
  3. Step 3: Cross multiply
    2,143.83x = 3,216.09 × 757.38
  4. Step 4: Simplify right side
    2,143.83x = 2,435,802.24
  5. Step 5: Solve for x
    x = 2,435,802.24/2,143.83
  6. Step 6: Final answer
    x = 1,136.19

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1.5x scale

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.