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Finding the Fourth Proportional to 11.45, 15.78 and 7.13

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Solution

The fourth proportional to 11.45, 15.78 and 7.13 is: 9.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.45 : 15.78 = 7.13 : x
  2. Step 2: Convert to fraction form
    11.45/15.78 = 7.13/x
  3. Step 3: Cross multiply
    11.45x = 15.78 × 7.13
  4. Step 4: Simplify right side
    11.45x = 112.43
  5. Step 5: Solve for x
    x = 112.43/11.45
  6. Step 6: Final answer
    x = 9.82

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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.