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Finding the Fourth Proportional to 2,538.13, 3,807.80 and 806.75

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Solution

The fourth proportional to 2,538.13, 3,807.80 and 806.75 is: 1,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.13 : 3,807.80 = 806.75 : x
  2. Step 2: Convert to fraction form
    2,538.13/3,807.80 = 806.75/x
  3. Step 3: Cross multiply
    2,538.13x = 3,807.80 × 806.75
  4. Step 4: Simplify right side
    2,538.13x = 3,071,942.65
  5. Step 5: Solve for x
    x = 3,071,942.65/2,538.13
  6. Step 6: Final answer
    x = 1,210.32

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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.