Home / 3,102.14-4,647.73-1,638.06

Finding the Fourth Proportional to 3,102.14, 4,647.73 and 1,638.06

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Solution

The fourth proportional to 3,102.14, 4,647.73 and 1,638.06 is: 2,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.14 : 4,647.73 = 1,638.06 : x
  2. Step 2: Convert to fraction form
    3,102.14/4,647.73 = 1,638.06/x
  3. Step 3: Cross multiply
    3,102.14x = 4,647.73 × 1,638.06
  4. Step 4: Simplify right side
    3,102.14x = 7,613,260.60
  5. Step 5: Solve for x
    x = 7,613,260.60/3,102.14
  6. Step 6: Final answer
    x = 2,454.20

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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.