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Finding the Fourth Proportional to 2,070.81, 3,100.94 and 2,009.25

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Solution

The fourth proportional to 2,070.81, 3,100.94 and 2,009.25 is: 3,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.81 : 3,100.94 = 2,009.25 : x
  2. Step 2: Convert to fraction form
    2,070.81/3,100.94 = 2,009.25/x
  3. Step 3: Cross multiply
    2,070.81x = 3,100.94 × 2,009.25
  4. Step 4: Simplify right side
    2,070.81x = 6,230,553.65
  5. Step 5: Solve for x
    x = 6,230,553.65/2,070.81
  6. Step 6: Final answer
    x = 3,008.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.