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Finding the Fourth Proportional to 4,946.90, 7,414.05 and 2,021.90

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Solution

The fourth proportional to 4,946.90, 7,414.05 and 2,021.90 is: 3,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.90 : 7,414.05 = 2,021.90 : x
  2. Step 2: Convert to fraction form
    4,946.90/7,414.05 = 2,021.90/x
  3. Step 3: Cross multiply
    4,946.90x = 7,414.05 × 2,021.90
  4. Step 4: Simplify right side
    4,946.90x = 14,990,467.70
  5. Step 5: Solve for x
    x = 14,990,467.70/4,946.90
  6. Step 6: Final answer
    x = 3,030.28

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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.