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Finding the Fourth Proportional to 3,146.82, 4,719.60 and 2,990.70

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Solution

The fourth proportional to 3,146.82, 4,719.60 and 2,990.70 is: 4,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.82 : 4,719.60 = 2,990.70 : x
  2. Step 2: Convert to fraction form
    3,146.82/4,719.60 = 2,990.70/x
  3. Step 3: Cross multiply
    3,146.82x = 4,719.60 × 2,990.70
  4. Step 4: Simplify right side
    3,146.82x = 14,114,907.72
  5. Step 5: Solve for x
    x = 14,114,907.72/3,146.82
  6. Step 6: Final answer
    x = 4,485.45

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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.