Home / 2,130.55-3,194.52-830.50

Finding the Fourth Proportional to 2,130.55, 3,194.52 and 830.50

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Solution

The fourth proportional to 2,130.55, 3,194.52 and 830.50 is: 1,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.55 : 3,194.52 = 830.50 : x
  2. Step 2: Convert to fraction form
    2,130.55/3,194.52 = 830.50/x
  3. Step 3: Cross multiply
    2,130.55x = 3,194.52 × 830.50
  4. Step 4: Simplify right side
    2,130.55x = 2,653,048.86
  5. Step 5: Solve for x
    x = 2,653,048.86/2,130.55
  6. Step 6: Final answer
    x = 1,245.24

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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.