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Finding the Fourth Proportional to 2,857.00, 4,285.59 and 982.87

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Solution

The fourth proportional to 2,857.00, 4,285.59 and 982.87 is: 1,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.00 : 4,285.59 = 982.87 : x
  2. Step 2: Convert to fraction form
    2,857.00/4,285.59 = 982.87/x
  3. Step 3: Cross multiply
    2,857.00x = 4,285.59 × 982.87
  4. Step 4: Simplify right side
    2,857.00x = 4,212,175.16
  5. Step 5: Solve for x
    x = 4,212,175.16/2,857.00
  6. Step 6: Final answer
    x = 1,474.34

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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.