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Finding the Fourth Proportional to 14.16, 21.28 and 7.75

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Solution

The fourth proportional to 14.16, 21.28 and 7.75 is: 11.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.16 : 21.28 = 7.75 : x
  2. Step 2: Convert to fraction form
    14.16/21.28 = 7.75/x
  3. Step 3: Cross multiply
    14.16x = 21.28 × 7.75
  4. Step 4: Simplify right side
    14.16x = 164.92
  5. Step 5: Solve for x
    x = 164.92/14.16
  6. Step 6: Final answer
    x = 11.65

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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.