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Finding the Fourth Proportional to 2,782.54, 3,837.81 and 2,449.63

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Solution

The fourth proportional to 2,782.54, 3,837.81 and 2,449.63 is: 3,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.54 : 3,837.81 = 2,449.63 : x
  2. Step 2: Convert to fraction form
    2,782.54/3,837.81 = 2,449.63/x
  3. Step 3: Cross multiply
    2,782.54x = 3,837.81 × 2,449.63
  4. Step 4: Simplify right side
    2,782.54x = 9,401,214.51
  5. Step 5: Solve for x
    x = 9,401,214.51/2,782.54
  6. Step 6: Final answer
    x = 3,378.64

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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.