Home / 3,782.64-5,666.58-2,134.20

Finding the Fourth Proportional to 3,782.64, 5,666.58 and 2,134.20

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Solution

The fourth proportional to 3,782.64, 5,666.58 and 2,134.20 is: 3,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.64 : 5,666.58 = 2,134.20 : x
  2. Step 2: Convert to fraction form
    3,782.64/5,666.58 = 2,134.20/x
  3. Step 3: Cross multiply
    3,782.64x = 5,666.58 × 2,134.20
  4. Step 4: Simplify right side
    3,782.64x = 12,093,615.04
  5. Step 5: Solve for x
    x = 12,093,615.04/3,782.64
  6. Step 6: Final answer
    x = 3,197.14

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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.