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Finding the Fourth Proportional to 2,205.70, 3,305.48 and 971.26

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Solution

The fourth proportional to 2,205.70, 3,305.48 and 971.26 is: 1,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.70 : 3,305.48 = 971.26 : x
  2. Step 2: Convert to fraction form
    2,205.70/3,305.48 = 971.26/x
  3. Step 3: Cross multiply
    2,205.70x = 3,305.48 × 971.26
  4. Step 4: Simplify right side
    2,205.70x = 3,210,466.41
  5. Step 5: Solve for x
    x = 3,210,466.41/2,205.70
  6. Step 6: Final answer
    x = 1,455.54

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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.