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Finding the Fourth Proportional to 3,660.57, 5,051.59 and 1,982.00

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Solution

The fourth proportional to 3,660.57, 5,051.59 and 1,982.00 is: 2,735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.57 : 5,051.59 = 1,982.00 : x
  2. Step 2: Convert to fraction form
    3,660.57/5,051.59 = 1,982.00/x
  3. Step 3: Cross multiply
    3,660.57x = 5,051.59 × 1,982.00
  4. Step 4: Simplify right side
    3,660.57x = 10,012,232.32
  5. Step 5: Solve for x
    x = 10,012,232.32/3,660.57
  6. Step 6: Final answer
    x = 2,735.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.