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Finding the Fourth Proportional to 1,324.26, 1,827.26 and 1,125.90

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Solution

The fourth proportional to 1,324.26, 1,827.26 and 1,125.90 is: 1,553.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.26 : 1,827.26 = 1,125.90 : x
  2. Step 2: Convert to fraction form
    1,324.26/1,827.26 = 1,125.90/x
  3. Step 3: Cross multiply
    1,324.26x = 1,827.26 × 1,125.90
  4. Step 4: Simplify right side
    1,324.26x = 2,057,312.03
  5. Step 5: Solve for x
    x = 2,057,312.03/1,324.26
  6. Step 6: Final answer
    x = 1,553.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.