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Finding the Fourth Proportional to 3,226, 4,839.72 and 1,174

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Solution

The fourth proportional to 3,226, 4,839.72 and 1,174 is: 1,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226 : 4,839.72 = 1,174 : x
  2. Step 2: Convert to fraction form
    3,226/4,839.72 = 1,174/x
  3. Step 3: Cross multiply
    3,226x = 4,839.72 × 1,174
  4. Step 4: Simplify right side
    3,226x = 5,681,831.28
  5. Step 5: Solve for x
    x = 5,681,831.28/3,226
  6. Step 6: Final answer
    x = 1,761.26

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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.