Home / 2,140.81-3,209.28-823.73

Finding the Fourth Proportional to 2,140.81, 3,209.28 and 823.73

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Solution

The fourth proportional to 2,140.81, 3,209.28 and 823.73 is: 1,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.81 : 3,209.28 = 823.73 : x
  2. Step 2: Convert to fraction form
    2,140.81/3,209.28 = 823.73/x
  3. Step 3: Cross multiply
    2,140.81x = 3,209.28 × 823.73
  4. Step 4: Simplify right side
    2,140.81x = 2,643,567.22
  5. Step 5: Solve for x
    x = 2,643,567.22/2,140.81
  6. Step 6: Final answer
    x = 1,234.84

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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.