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Finding the Fourth Proportional to 2,071.56, 3,107.44 and 685.02

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Solution

The fourth proportional to 2,071.56, 3,107.44 and 685.02 is: 1,027.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.56 : 3,107.44 = 685.02 : x
  2. Step 2: Convert to fraction form
    2,071.56/3,107.44 = 685.02/x
  3. Step 3: Cross multiply
    2,071.56x = 3,107.44 × 685.02
  4. Step 4: Simplify right side
    2,071.56x = 2,128,641.30
  5. Step 5: Solve for x
    x = 2,128,641.30/2,071.56
  6. Step 6: Final answer
    x = 1,027.56

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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.