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Finding the Fourth Proportional to 2,653.00, 3,980.00 and 1,266.44

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Solution

The fourth proportional to 2,653.00, 3,980.00 and 1,266.44 is: 1,899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.00 : 3,980.00 = 1,266.44 : x
  2. Step 2: Convert to fraction form
    2,653.00/3,980.00 = 1,266.44/x
  3. Step 3: Cross multiply
    2,653.00x = 3,980.00 × 1,266.44
  4. Step 4: Simplify right side
    2,653.00x = 5,040,444.32
  5. Step 5: Solve for x
    x = 5,040,444.32/2,653.00
  6. Step 6: Final answer
    x = 1,899.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.