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Finding the Fourth Proportional to 28.10, 42.06 and 19.09

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Solution

The fourth proportional to 28.10, 42.06 and 19.09 is: 28.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.10 : 42.06 = 19.09 : x
  2. Step 2: Convert to fraction form
    28.10/42.06 = 19.09/x
  3. Step 3: Cross multiply
    28.10x = 42.06 × 19.09
  4. Step 4: Simplify right side
    28.10x = 802.72
  5. Step 5: Solve for x
    x = 802.72/28.10
  6. Step 6: Final answer
    x = 28.57

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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.