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Finding the Fourth Proportional to 14.06, 19.25 and 13.87

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Solution

The fourth proportional to 14.06, 19.25 and 13.87 is: 19.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.06 : 19.25 = 13.87 : x
  2. Step 2: Convert to fraction form
    14.06/19.25 = 13.87/x
  3. Step 3: Cross multiply
    14.06x = 19.25 × 13.87
  4. Step 4: Simplify right side
    14.06x = 267.08
  5. Step 5: Solve for x
    x = 267.08/14.06
  6. Step 6: Final answer
    x = 19.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.