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Finding the Fourth Proportional to 4.94, 7.40 and 4.61

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Solution

The fourth proportional to 4.94, 7.40 and 4.61 is: 6.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.94 : 7.40 = 4.61 : x
  2. Step 2: Convert to fraction form
    4.94/7.40 = 4.61/x
  3. Step 3: Cross multiply
    4.94x = 7.40 × 4.61
  4. Step 4: Simplify right side
    4.94x = 34.09
  5. Step 5: Solve for x
    x = 34.09/4.94
  6. Step 6: Final answer
    x = 6.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.