Home / 2,134.64-3,202.68-835.40

Finding the Fourth Proportional to 2,134.64, 3,202.68 and 835.40

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Solution

The fourth proportional to 2,134.64, 3,202.68 and 835.40 is: 1,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.64 : 3,202.68 = 835.40 : x
  2. Step 2: Convert to fraction form
    2,134.64/3,202.68 = 835.40/x
  3. Step 3: Cross multiply
    2,134.64x = 3,202.68 × 835.40
  4. Step 4: Simplify right side
    2,134.64x = 2,675,502.86
  5. Step 5: Solve for x
    x = 2,675,502.86/2,134.64
  6. Step 6: Final answer
    x = 1,253.38

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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.