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Finding the Fourth Proportional to 5,676.24, 8,515.89 and 1,978.68

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Solution

The fourth proportional to 5,676.24, 8,515.89 and 1,978.68 is: 2,968.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.24 : 8,515.89 = 1,978.68 : x
  2. Step 2: Convert to fraction form
    5,676.24/8,515.89 = 1,978.68/x
  3. Step 3: Cross multiply
    5,676.24x = 8,515.89 × 1,978.68
  4. Step 4: Simplify right side
    5,676.24x = 16,850,221.23
  5. Step 5: Solve for x
    x = 16,850,221.23/5,676.24
  6. Step 6: Final answer
    x = 2,968.55

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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.