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Finding the Fourth Proportional to 2,806.65, 3,871.80 and 1,812.78

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Solution

The fourth proportional to 2,806.65, 3,871.80 and 1,812.78 is: 2,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.65 : 3,871.80 = 1,812.78 : x
  2. Step 2: Convert to fraction form
    2,806.65/3,871.80 = 1,812.78/x
  3. Step 3: Cross multiply
    2,806.65x = 3,871.80 × 1,812.78
  4. Step 4: Simplify right side
    2,806.65x = 7,018,721.60
  5. Step 5: Solve for x
    x = 7,018,721.60/2,806.65
  6. Step 6: Final answer
    x = 2,500.75

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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.