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Finding the Fourth Proportional to 14.31, 19.74 and 9.14

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Solution

The fourth proportional to 14.31, 19.74 and 9.14 is: 12.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.31 : 19.74 = 9.14 : x
  2. Step 2: Convert to fraction form
    14.31/19.74 = 9.14/x
  3. Step 3: Cross multiply
    14.31x = 19.74 × 9.14
  4. Step 4: Simplify right side
    14.31x = 180.32
  5. Step 5: Solve for x
    x = 180.32/14.31
  6. Step 6: Final answer
    x = 12.60

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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.