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Finding the Fourth Proportional to 8,118.40, 12,108.26 and 7,978

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Solution

The fourth proportional to 8,118.40, 12,108.26 and 7,978 is: 11,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118.40 : 12,108.26 = 7,978 : x
  2. Step 2: Convert to fraction form
    8,118.40/12,108.26 = 7,978/x
  3. Step 3: Cross multiply
    8,118.40x = 12,108.26 × 7,978
  4. Step 4: Simplify right side
    8,118.40x = 96,599,698.28
  5. Step 5: Solve for x
    x = 96,599,698.28/8,118.40
  6. Step 6: Final answer
    x = 11,898.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.