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Finding the Fourth Proportional to 8.43, 12.64 and 8.00

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Solution

The fourth proportional to 8.43, 12.64 and 8.00 is: 11.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.43 : 12.64 = 8.00 : x
  2. Step 2: Convert to fraction form
    8.43/12.64 = 8.00/x
  3. Step 3: Cross multiply
    8.43x = 12.64 × 8.00
  4. Step 4: Simplify right side
    8.43x = 101.02
  5. Step 5: Solve for x
    x = 101.02/8.43
  6. Step 6: Final answer
    x = 11.99

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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.