Home / 3,170.24-4,755.30-830.06

Finding the Fourth Proportional to 3,170.24, 4,755.30 and 830.06

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Solution

The fourth proportional to 3,170.24, 4,755.30 and 830.06 is: 1,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.24 : 4,755.30 = 830.06 : x
  2. Step 2: Convert to fraction form
    3,170.24/4,755.30 = 830.06/x
  3. Step 3: Cross multiply
    3,170.24x = 4,755.30 × 830.06
  4. Step 4: Simplify right side
    3,170.24x = 3,947,184.32
  5. Step 5: Solve for x
    x = 3,947,184.32/3,170.24
  6. Step 6: Final answer
    x = 1,245.07

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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.