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Finding the Fourth Proportional to 5,349.80, 8,021.82 and 2,978.63

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Solution

The fourth proportional to 5,349.80, 8,021.82 and 2,978.63 is: 4,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.80 : 8,021.82 = 2,978.63 : x
  2. Step 2: Convert to fraction form
    5,349.80/8,021.82 = 2,978.63/x
  3. Step 3: Cross multiply
    5,349.80x = 8,021.82 × 2,978.63
  4. Step 4: Simplify right side
    5,349.80x = 23,893,993.60
  5. Step 5: Solve for x
    x = 23,893,993.60/5,349.80
  6. Step 6: Final answer
    x = 4,466.34

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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.