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Finding the Fourth Proportional to 2,700.48, 3,724.80 and 1,815.84

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Solution

The fourth proportional to 2,700.48, 3,724.80 and 1,815.84 is: 2,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.48 : 3,724.80 = 1,815.84 : x
  2. Step 2: Convert to fraction form
    2,700.48/3,724.80 = 1,815.84/x
  3. Step 3: Cross multiply
    2,700.48x = 3,724.80 × 1,815.84
  4. Step 4: Simplify right side
    2,700.48x = 6,763,640.83
  5. Step 5: Solve for x
    x = 6,763,640.83/2,700.48
  6. Step 6: Final answer
    x = 2,504.61

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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.