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Finding the Fourth Proportional to 11.07, 15.28 and 6.47

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Solution

The fourth proportional to 11.07, 15.28 and 6.47 is: 8.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.07 : 15.28 = 6.47 : x
  2. Step 2: Convert to fraction form
    11.07/15.28 = 6.47/x
  3. Step 3: Cross multiply
    11.07x = 15.28 × 6.47
  4. Step 4: Simplify right side
    11.07x = 98.75
  5. Step 5: Solve for x
    x = 98.75/11.07
  6. Step 6: Final answer
    x = 8.92

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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.