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Finding the Fourth Proportional to 2,661.32, 3,985.00 and 2,138.54

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Solution

The fourth proportional to 2,661.32, 3,985.00 and 2,138.54 is: 3,202.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.32 : 3,985.00 = 2,138.54 : x
  2. Step 2: Convert to fraction form
    2,661.32/3,985.00 = 2,138.54/x
  3. Step 3: Cross multiply
    2,661.32x = 3,985.00 × 2,138.54
  4. Step 4: Simplify right side
    2,661.32x = 8,522,056.63
  5. Step 5: Solve for x
    x = 8,522,056.63/2,661.32
  6. Step 6: Final answer
    x = 3,202.19

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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.