Home / 3,427.28-5,140.87-830.24

Finding the Fourth Proportional to 3,427.28, 5,140.87 and 830.24

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Solution

The fourth proportional to 3,427.28, 5,140.87 and 830.24 is: 1,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.28 : 5,140.87 = 830.24 : x
  2. Step 2: Convert to fraction form
    3,427.28/5,140.87 = 830.24/x
  3. Step 3: Cross multiply
    3,427.28x = 5,140.87 × 830.24
  4. Step 4: Simplify right side
    3,427.28x = 4,268,126.05
  5. Step 5: Solve for x
    x = 4,268,126.05/3,427.28
  6. Step 6: Final answer
    x = 1,245.34

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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.