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Finding the Fourth Proportional to 2,803.65, 3,866.98 and 1,808.43

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Solution

The fourth proportional to 2,803.65, 3,866.98 and 1,808.43 is: 2,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.65 : 3,866.98 = 1,808.43 : x
  2. Step 2: Convert to fraction form
    2,803.65/3,866.98 = 1,808.43/x
  3. Step 3: Cross multiply
    2,803.65x = 3,866.98 × 1,808.43
  4. Step 4: Simplify right side
    2,803.65x = 6,993,162.64
  5. Step 5: Solve for x
    x = 6,993,162.64/2,803.65
  6. Step 6: Final answer
    x = 2,494.31

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Why These Related Problems?

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