Home / 3,427.13-5,140.69-830.06

Finding the Fourth Proportional to 3,427.13, 5,140.69 and 830.06

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Solution

The fourth proportional to 3,427.13, 5,140.69 and 830.06 is: 1,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.13 : 5,140.69 = 830.06 : x
  2. Step 2: Convert to fraction form
    3,427.13/5,140.69 = 830.06/x
  3. Step 3: Cross multiply
    3,427.13x = 5,140.69 × 830.06
  4. Step 4: Simplify right side
    3,427.13x = 4,267,081.14
  5. Step 5: Solve for x
    x = 4,267,081.14/3,427.13
  6. Step 6: Final answer
    x = 1,245.09

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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.