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Finding the Fourth Proportional to 5,676.75, 8,515.15 and 1,978.97

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Solution

The fourth proportional to 5,676.75, 8,515.15 and 1,978.97 is: 2,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.75 : 8,515.15 = 1,978.97 : x
  2. Step 2: Convert to fraction form
    5,676.75/8,515.15 = 1,978.97/x
  3. Step 3: Cross multiply
    5,676.75x = 8,515.15 × 1,978.97
  4. Step 4: Simplify right side
    5,676.75x = 16,851,216.50
  5. Step 5: Solve for x
    x = 16,851,216.50/5,676.75
  6. Step 6: Final answer
    x = 2,968.46

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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.