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Finding the Fourth Proportional to 2,783.66, 3,844.32 and 2,408.84

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Solution

The fourth proportional to 2,783.66, 3,844.32 and 2,408.84 is: 3,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.66 : 3,844.32 = 2,408.84 : x
  2. Step 2: Convert to fraction form
    2,783.66/3,844.32 = 2,408.84/x
  3. Step 3: Cross multiply
    2,783.66x = 3,844.32 × 2,408.84
  4. Step 4: Simplify right side
    2,783.66x = 9,260,351.79
  5. Step 5: Solve for x
    x = 9,260,351.79/2,783.66
  6. Step 6: Final answer
    x = 3,326.68

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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.