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Finding the Fourth Proportional to 2,874.99, 3,969.09 and 2,678.16

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Solution

The fourth proportional to 2,874.99, 3,969.09 and 2,678.16 is: 3,697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.99 : 3,969.09 = 2,678.16 : x
  2. Step 2: Convert to fraction form
    2,874.99/3,969.09 = 2,678.16/x
  3. Step 3: Cross multiply
    2,874.99x = 3,969.09 × 2,678.16
  4. Step 4: Simplify right side
    2,874.99x = 10,629,858.07
  5. Step 5: Solve for x
    x = 10,629,858.07/2,874.99
  6. Step 6: Final answer
    x = 3,697.35

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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.