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Finding the Fourth Proportional to 14.06, 21.09 and 6.46

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Solution

The fourth proportional to 14.06, 21.09 and 6.46 is: 9.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.06 : 21.09 = 6.46 : x
  2. Step 2: Convert to fraction form
    14.06/21.09 = 6.46/x
  3. Step 3: Cross multiply
    14.06x = 21.09 × 6.46
  4. Step 4: Simplify right side
    14.06x = 136.19
  5. Step 5: Solve for x
    x = 136.19/14.06
  6. Step 6: Final answer
    x = 9.68

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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.