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Finding the Fourth Proportional to 2,857.40, 4,285.41 and 983.07

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Solution

The fourth proportional to 2,857.40, 4,285.41 and 983.07 is: 1,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.40 : 4,285.41 = 983.07 : x
  2. Step 2: Convert to fraction form
    2,857.40/4,285.41 = 983.07/x
  3. Step 3: Cross multiply
    2,857.40x = 4,285.41 × 983.07
  4. Step 4: Simplify right side
    2,857.40x = 4,212,858.01
  5. Step 5: Solve for x
    x = 4,212,858.01/2,857.40
  6. Step 6: Final answer
    x = 1,474.37

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1.5x scale

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.