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Finding the Fourth Proportional to 8,963.56, 13,406.00 and 7,983.26

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Solution

The fourth proportional to 8,963.56, 13,406.00 and 7,983.26 is: 11,939.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.56 : 13,406.00 = 7,983.26 : x
  2. Step 2: Convert to fraction form
    8,963.56/13,406.00 = 7,983.26/x
  3. Step 3: Cross multiply
    8,963.56x = 13,406.00 × 7,983.26
  4. Step 4: Simplify right side
    8,963.56x = 107,023,476.61
  5. Step 5: Solve for x
    x = 107,023,476.61/8,963.56
  6. Step 6: Final answer
    x = 11,939.84

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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.