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Finding the Fourth Proportional to 2,809.14, 3,874.94 and 1,815.00

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Solution

The fourth proportional to 2,809.14, 3,874.94 and 1,815.00 is: 2,503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.14 : 3,874.94 = 1,815.00 : x
  2. Step 2: Convert to fraction form
    2,809.14/3,874.94 = 1,815.00/x
  3. Step 3: Cross multiply
    2,809.14x = 3,874.94 × 1,815.00
  4. Step 4: Simplify right side
    2,809.14x = 7,033,018.37
  5. Step 5: Solve for x
    x = 7,033,018.37/2,809.14
  6. Step 6: Final answer
    x = 2,503.62

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1.5x scale

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.