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Finding the Fourth Proportional to 2,771.63, 3,816.69 and 2,476.79

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Solution

The fourth proportional to 2,771.63, 3,816.69 and 2,476.79 is: 3,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.63 : 3,816.69 = 2,476.79 : x
  2. Step 2: Convert to fraction form
    2,771.63/3,816.69 = 2,476.79/x
  3. Step 3: Cross multiply
    2,771.63x = 3,816.69 × 2,476.79
  4. Step 4: Simplify right side
    2,771.63x = 9,453,139.63
  5. Step 5: Solve for x
    x = 9,453,139.63/2,771.63
  6. Step 6: Final answer
    x = 3,410.68

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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.