Home / 2,778.36-4,166.80-830.12

Finding the Fourth Proportional to 2,778.36, 4,166.80 and 830.12

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Solution

The fourth proportional to 2,778.36, 4,166.80 and 830.12 is: 1,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.36 : 4,166.80 = 830.12 : x
  2. Step 2: Convert to fraction form
    2,778.36/4,166.80 = 830.12/x
  3. Step 3: Cross multiply
    2,778.36x = 4,166.80 × 830.12
  4. Step 4: Simplify right side
    2,778.36x = 3,458,944.02
  5. Step 5: Solve for x
    x = 3,458,944.02/2,778.36
  6. Step 6: Final answer
    x = 1,244.96

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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.