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Finding the Fourth Proportional to 2,812.65, 3,878.04 and 2,341.23

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Solution

The fourth proportional to 2,812.65, 3,878.04 and 2,341.23 is: 3,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.65 : 3,878.04 = 2,341.23 : x
  2. Step 2: Convert to fraction form
    2,812.65/3,878.04 = 2,341.23/x
  3. Step 3: Cross multiply
    2,812.65x = 3,878.04 × 2,341.23
  4. Step 4: Simplify right side
    2,812.65x = 9,079,383.59
  5. Step 5: Solve for x
    x = 9,079,383.59/2,812.65
  6. Step 6: Final answer
    x = 3,228.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.