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Finding the Fourth Proportional to 11.13, 15.35 and 8.40

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Solution

The fourth proportional to 11.13, 15.35 and 8.40 is: 11.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.13 : 15.35 = 8.40 : x
  2. Step 2: Convert to fraction form
    11.13/15.35 = 8.40/x
  3. Step 3: Cross multiply
    11.13x = 15.35 × 8.40
  4. Step 4: Simplify right side
    11.13x = 128.94
  5. Step 5: Solve for x
    x = 128.94/11.13
  6. Step 6: Final answer
    x = 11.58

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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.