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Finding the Fourth Proportional to 3,746.66, 5,171.11 and 2,174.99

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Solution

The fourth proportional to 3,746.66, 5,171.11 and 2,174.99 is: 3,001.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.66 : 5,171.11 = 2,174.99 : x
  2. Step 2: Convert to fraction form
    3,746.66/5,171.11 = 2,174.99/x
  3. Step 3: Cross multiply
    3,746.66x = 5,171.11 × 2,174.99
  4. Step 4: Simplify right side
    3,746.66x = 11,247,081.25
  5. Step 5: Solve for x
    x = 11,247,081.25/3,746.66
  6. Step 6: Final answer
    x = 3,001.90

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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.