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Finding the Fourth Proportional to 10.19, 14.06 and 8.03

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Solution

The fourth proportional to 10.19, 14.06 and 8.03 is: 11.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.19 : 14.06 = 8.03 : x
  2. Step 2: Convert to fraction form
    10.19/14.06 = 8.03/x
  3. Step 3: Cross multiply
    10.19x = 14.06 × 8.03
  4. Step 4: Simplify right side
    10.19x = 112.90
  5. Step 5: Solve for x
    x = 112.90/10.19
  6. Step 6: Final answer
    x = 11.08

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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.