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Finding the Fourth Proportional to 2,807.04, 3,872.94 and 1,811.96

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Solution

The fourth proportional to 2,807.04, 3,872.94 and 1,811.96 is: 2,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.04 : 3,872.94 = 1,811.96 : x
  2. Step 2: Convert to fraction form
    2,807.04/3,872.94 = 1,811.96/x
  3. Step 3: Cross multiply
    2,807.04x = 3,872.94 × 1,811.96
  4. Step 4: Simplify right side
    2,807.04x = 7,017,612.36
  5. Step 5: Solve for x
    x = 7,017,612.36/2,807.04
  6. Step 6: Final answer
    x = 2,500.00

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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.