Home / 2,134.16-3,199.28-835.28

Finding the Fourth Proportional to 2,134.16, 3,199.28 and 835.28

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Solution

The fourth proportional to 2,134.16, 3,199.28 and 835.28 is: 1,252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.16 : 3,199.28 = 835.28 : x
  2. Step 2: Convert to fraction form
    2,134.16/3,199.28 = 835.28/x
  3. Step 3: Cross multiply
    2,134.16x = 3,199.28 × 835.28
  4. Step 4: Simplify right side
    2,134.16x = 2,672,294.60
  5. Step 5: Solve for x
    x = 2,672,294.60/2,134.16
  6. Step 6: Final answer
    x = 1,252.15

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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.