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Finding the Fourth Proportional to 1,812.24, 2,717.64 and 757.62

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Solution

The fourth proportional to 1,812.24, 2,717.64 and 757.62 is: 1,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.24 : 2,717.64 = 757.62 : x
  2. Step 2: Convert to fraction form
    1,812.24/2,717.64 = 757.62/x
  3. Step 3: Cross multiply
    1,812.24x = 2,717.64 × 757.62
  4. Step 4: Simplify right side
    1,812.24x = 2,058,938.42
  5. Step 5: Solve for x
    x = 2,058,938.42/1,812.24
  6. Step 6: Final answer
    x = 1,136.13

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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.