Home / 2,211.86-3,317.79-824.83

Finding the Fourth Proportional to 2,211.86, 3,317.79 and 824.83

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Solution

The fourth proportional to 2,211.86, 3,317.79 and 824.83 is: 1,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.86 : 3,317.79 = 824.83 : x
  2. Step 2: Convert to fraction form
    2,211.86/3,317.79 = 824.83/x
  3. Step 3: Cross multiply
    2,211.86x = 3,317.79 × 824.83
  4. Step 4: Simplify right side
    2,211.86x = 2,736,619.23
  5. Step 5: Solve for x
    x = 2,736,619.23/2,211.86
  6. Step 6: Final answer
    x = 1,237.25

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Similar ratio
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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.