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Finding the Fourth Proportional to 2,809.66, 3,875.94 and 1,815.78

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Solution

The fourth proportional to 2,809.66, 3,875.94 and 1,815.78 is: 2,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.66 : 3,875.94 = 1,815.78 : x
  2. Step 2: Convert to fraction form
    2,809.66/3,875.94 = 1,815.78/x
  3. Step 3: Cross multiply
    2,809.66x = 3,875.94 × 1,815.78
  4. Step 4: Simplify right side
    2,809.66x = 7,037,854.33
  5. Step 5: Solve for x
    x = 7,037,854.33/2,809.66
  6. Step 6: Final answer
    x = 2,504.88

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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.