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Finding the Fourth Proportional to 2,653.83, 3,660.03 and 2,278.44

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Solution

The fourth proportional to 2,653.83, 3,660.03 and 2,278.44 is: 3,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.83 : 3,660.03 = 2,278.44 : x
  2. Step 2: Convert to fraction form
    2,653.83/3,660.03 = 2,278.44/x
  3. Step 3: Cross multiply
    2,653.83x = 3,660.03 × 2,278.44
  4. Step 4: Simplify right side
    2,653.83x = 8,339,158.75
  5. Step 5: Solve for x
    x = 8,339,158.75/2,653.83
  6. Step 6: Final answer
    x = 3,142.31

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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.