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Finding the Fourth Proportional to 2.47, 3.74 and 2.46

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Solution

The fourth proportional to 2.47, 3.74 and 2.46 is: 3.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.47 : 3.74 = 2.46 : x
  2. Step 2: Convert to fraction form
    2.47/3.74 = 2.46/x
  3. Step 3: Cross multiply
    2.47x = 3.74 × 2.46
  4. Step 4: Simplify right side
    2.47x = 9.20
  5. Step 5: Solve for x
    x = 9.20/2.47
  6. Step 6: Final answer
    x = 3.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.