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Finding the Fourth Proportional to 14.23, 19.63 and 9.37

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Solution

The fourth proportional to 14.23, 19.63 and 9.37 is: 12.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.23 : 19.63 = 9.37 : x
  2. Step 2: Convert to fraction form
    14.23/19.63 = 9.37/x
  3. Step 3: Cross multiply
    14.23x = 19.63 × 9.37
  4. Step 4: Simplify right side
    14.23x = 183.93
  5. Step 5: Solve for x
    x = 183.93/14.23
  6. Step 6: Final answer
    x = 12.93

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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.