Home / 3,427.18-5,140.80-830.14

Finding the Fourth Proportional to 3,427.18, 5,140.80 and 830.14

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Solution

The fourth proportional to 3,427.18, 5,140.80 and 830.14 is: 1,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.18 : 5,140.80 = 830.14 : x
  2. Step 2: Convert to fraction form
    3,427.18/5,140.80 = 830.14/x
  3. Step 3: Cross multiply
    3,427.18x = 5,140.80 × 830.14
  4. Step 4: Simplify right side
    3,427.18x = 4,267,583.71
  5. Step 5: Solve for x
    x = 4,267,583.71/3,427.18
  6. Step 6: Final answer
    x = 1,245.22

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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.