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Finding the Fourth Proportional to 8,676.18, 11,978.98 and 5,697.07

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Solution

The fourth proportional to 8,676.18, 11,978.98 and 5,697.07 is: 7,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.18 : 11,978.98 = 5,697.07 : x
  2. Step 2: Convert to fraction form
    8,676.18/11,978.98 = 5,697.07/x
  3. Step 3: Cross multiply
    8,676.18x = 11,978.98 × 5,697.07
  4. Step 4: Simplify right side
    8,676.18x = 68,245,043.40
  5. Step 5: Solve for x
    x = 68,245,043.40/8,676.18
  6. Step 6: Final answer
    x = 7,865.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.