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Finding the Fourth Proportional to 2,653.64, 3,980.84 and 874.16

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Solution

The fourth proportional to 2,653.64, 3,980.84 and 874.16 is: 1,311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.64 : 3,980.84 = 874.16 : x
  2. Step 2: Convert to fraction form
    2,653.64/3,980.84 = 874.16/x
  3. Step 3: Cross multiply
    2,653.64x = 3,980.84 × 874.16
  4. Step 4: Simplify right side
    2,653.64x = 3,479,891.09
  5. Step 5: Solve for x
    x = 3,479,891.09/2,653.64
  6. Step 6: Final answer
    x = 1,311.37

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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.