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Finding the Fourth Proportional to 3,769, 5,201.70 and 2,113

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Solution

The fourth proportional to 3,769, 5,201.70 and 2,113 is: 2,916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769 : 5,201.70 = 2,113 : x
  2. Step 2: Convert to fraction form
    3,769/5,201.70 = 2,113/x
  3. Step 3: Cross multiply
    3,769x = 5,201.70 × 2,113
  4. Step 4: Simplify right side
    3,769x = 10,991,192.10
  5. Step 5: Solve for x
    x = 10,991,192.10/3,769
  6. Step 6: Final answer
    x = 2,916.21

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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.