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Finding the Fourth Proportional to 1,582.56, 2,375.06 and 1,172.97

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Solution

The fourth proportional to 1,582.56, 2,375.06 and 1,172.97 is: 1,760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.56 : 2,375.06 = 1,172.97 : x
  2. Step 2: Convert to fraction form
    1,582.56/2,375.06 = 1,172.97/x
  3. Step 3: Cross multiply
    1,582.56x = 2,375.06 × 1,172.97
  4. Step 4: Simplify right side
    1,582.56x = 2,785,868.26
  5. Step 5: Solve for x
    x = 2,785,868.26/1,582.56
  6. Step 6: Final answer
    x = 1,760.36

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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.