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Finding the Fourth Proportional to 8,027.76, 11,058.48 and 6,978

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Solution

The fourth proportional to 8,027.76, 11,058.48 and 6,978 is: 9,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.76 : 11,058.48 = 6,978 : x
  2. Step 2: Convert to fraction form
    8,027.76/11,058.48 = 6,978/x
  3. Step 3: Cross multiply
    8,027.76x = 11,058.48 × 6,978
  4. Step 4: Simplify right side
    8,027.76x = 77,166,073.44
  5. Step 5: Solve for x
    x = 77,166,073.44/8,027.76
  6. Step 6: Final answer
    x = 9,612.40

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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.