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Finding the Fourth Proportional to 10.47, 14.46 and 6.84

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Solution

The fourth proportional to 10.47, 14.46 and 6.84 is: 9.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.47 : 14.46 = 6.84 : x
  2. Step 2: Convert to fraction form
    10.47/14.46 = 6.84/x
  3. Step 3: Cross multiply
    10.47x = 14.46 × 6.84
  4. Step 4: Simplify right side
    10.47x = 98.88
  5. Step 5: Solve for x
    x = 98.88/10.47
  6. Step 6: Final answer
    x = 9.44

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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.