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Finding the Fourth Proportional to 2,978.11, 4,466.84 and 1,223.29

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Solution

The fourth proportional to 2,978.11, 4,466.84 and 1,223.29 is: 1,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.11 : 4,466.84 = 1,223.29 : x
  2. Step 2: Convert to fraction form
    2,978.11/4,466.84 = 1,223.29/x
  3. Step 3: Cross multiply
    2,978.11x = 4,466.84 × 1,223.29
  4. Step 4: Simplify right side
    2,978.11x = 5,464,240.70
  5. Step 5: Solve for x
    x = 5,464,240.70/2,978.11
  6. Step 6: Final answer
    x = 1,834.80

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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.