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Finding the Fourth Proportional to 14.30, 19.68 and 12.95

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Solution

The fourth proportional to 14.30, 19.68 and 12.95 is: 17.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.30 : 19.68 = 12.95 : x
  2. Step 2: Convert to fraction form
    14.30/19.68 = 12.95/x
  3. Step 3: Cross multiply
    14.30x = 19.68 × 12.95
  4. Step 4: Simplify right side
    14.30x = 254.76
  5. Step 5: Solve for x
    x = 254.76/14.30
  6. Step 6: Final answer
    x = 17.82

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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.