Home / 2,130.24-3,194.16-830.22

Finding the Fourth Proportional to 2,130.24, 3,194.16 and 830.22

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Solution

The fourth proportional to 2,130.24, 3,194.16 and 830.22 is: 1,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.24 : 3,194.16 = 830.22 : x
  2. Step 2: Convert to fraction form
    2,130.24/3,194.16 = 830.22/x
  3. Step 3: Cross multiply
    2,130.24x = 3,194.16 × 830.22
  4. Step 4: Simplify right side
    2,130.24x = 2,651,855.52
  5. Step 5: Solve for x
    x = 2,651,855.52/2,130.24
  6. Step 6: Final answer
    x = 1,244.86

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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.