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Finding the Fourth Proportional to 12.03, 16.61 and 8.40

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Solution

The fourth proportional to 12.03, 16.61 and 8.40 is: 11.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.03 : 16.61 = 8.40 : x
  2. Step 2: Convert to fraction form
    12.03/16.61 = 8.40/x
  3. Step 3: Cross multiply
    12.03x = 16.61 × 8.40
  4. Step 4: Simplify right side
    12.03x = 139.48
  5. Step 5: Solve for x
    x = 139.48/12.03
  6. Step 6: Final answer
    x = 11.59

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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.