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Finding the Fourth Proportional to 5,676.11, 8,514.63 and 1,978.26

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Solution

The fourth proportional to 5,676.11, 8,514.63 and 1,978.26 is: 2,967.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.11 : 8,514.63 = 1,978.26 : x
  2. Step 2: Convert to fraction form
    5,676.11/8,514.63 = 1,978.26/x
  3. Step 3: Cross multiply
    5,676.11x = 8,514.63 × 1,978.26
  4. Step 4: Simplify right side
    5,676.11x = 16,844,151.94
  5. Step 5: Solve for x
    x = 16,844,151.94/5,676.11
  6. Step 6: Final answer
    x = 2,967.55

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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.