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Finding the Fourth Proportional to 2,081.30, 3,122.30 and 620.60

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Solution

The fourth proportional to 2,081.30, 3,122.30 and 620.60 is: 931.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.30 : 3,122.30 = 620.60 : x
  2. Step 2: Convert to fraction form
    2,081.30/3,122.30 = 620.60/x
  3. Step 3: Cross multiply
    2,081.30x = 3,122.30 × 620.60
  4. Step 4: Simplify right side
    2,081.30x = 1,937,699.38
  5. Step 5: Solve for x
    x = 1,937,699.38/2,081.30
  6. Step 6: Final answer
    x = 931.00

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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.