Home / 2,211.22-3,316.30-977.94

Finding the Fourth Proportional to 2,211.22, 3,316.30 and 977.94

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Solution

The fourth proportional to 2,211.22, 3,316.30 and 977.94 is: 1,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.22 : 3,316.30 = 977.94 : x
  2. Step 2: Convert to fraction form
    2,211.22/3,316.30 = 977.94/x
  3. Step 3: Cross multiply
    2,211.22x = 3,316.30 × 977.94
  4. Step 4: Simplify right side
    2,211.22x = 3,243,142.42
  5. Step 5: Solve for x
    x = 3,243,142.42/2,211.22
  6. Step 6: Final answer
    x = 1,466.68

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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.