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Finding the Fourth Proportional to 9.40, 12.93 and 7.74

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Solution

The fourth proportional to 9.40, 12.93 and 7.74 is: 10.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.40 : 12.93 = 7.74 : x
  2. Step 2: Convert to fraction form
    9.40/12.93 = 7.74/x
  3. Step 3: Cross multiply
    9.40x = 12.93 × 7.74
  4. Step 4: Simplify right side
    9.40x = 100.05
  5. Step 5: Solve for x
    x = 100.05/9.40
  6. Step 6: Final answer
    x = 10.64

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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.