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Finding the Fourth Proportional to 3,331.76, 4,991.16 and 2,174

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Solution

The fourth proportional to 3,331.76, 4,991.16 and 2,174 is: 3,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,331.76 : 4,991.16 = 2,174 : x
  2. Step 2: Convert to fraction form
    3,331.76/4,991.16 = 2,174/x
  3. Step 3: Cross multiply
    3,331.76x = 4,991.16 × 2,174
  4. Step 4: Simplify right side
    3,331.76x = 10,850,781.84
  5. Step 5: Solve for x
    x = 10,850,781.84/3,331.76
  6. Step 6: Final answer
    x = 3,256.77

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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.