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Finding the Fourth Proportional to 1,265.72, 1,889.03 and 1,161.23

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Solution

The fourth proportional to 1,265.72, 1,889.03 and 1,161.23 is: 1,733.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.72 : 1,889.03 = 1,161.23 : x
  2. Step 2: Convert to fraction form
    1,265.72/1,889.03 = 1,161.23/x
  3. Step 3: Cross multiply
    1,265.72x = 1,889.03 × 1,161.23
  4. Step 4: Simplify right side
    1,265.72x = 2,193,583.06
  5. Step 5: Solve for x
    x = 2,193,583.06/1,265.72
  6. Step 6: Final answer
    x = 1,733.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.