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Finding the Fourth Proportional to 8,031.76, 11,064 and 6,982

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Solution

The fourth proportional to 8,031.76, 11,064 and 6,982 is: 9,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.76 : 11,064 = 6,982 : x
  2. Step 2: Convert to fraction form
    8,031.76/11,064 = 6,982/x
  3. Step 3: Cross multiply
    8,031.76x = 11,064 × 6,982
  4. Step 4: Simplify right side
    8,031.76x = 77,248,848
  5. Step 5: Solve for x
    x = 77,248,848/8,031.76
  6. Step 6: Final answer
    x = 9,617.92

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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.