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Finding the Fourth Proportional to 2,828.64, 3,903 and 1,586.64

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Solution

The fourth proportional to 2,828.64, 3,903 and 1,586.64 is: 2,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.64 : 3,903 = 1,586.64 : x
  2. Step 2: Convert to fraction form
    2,828.64/3,903 = 1,586.64/x
  3. Step 3: Cross multiply
    2,828.64x = 3,903 × 1,586.64
  4. Step 4: Simplify right side
    2,828.64x = 6,192,655.92
  5. Step 5: Solve for x
    x = 6,192,655.92/2,828.64
  6. Step 6: Final answer
    x = 2,189.27

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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.