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Finding the Fourth Proportional to 3,146.93, 4,719.78 and 2,990.83

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Solution

The fourth proportional to 3,146.93, 4,719.78 and 2,990.83 is: 4,485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.93 : 4,719.78 = 2,990.83 : x
  2. Step 2: Convert to fraction form
    3,146.93/4,719.78 = 2,990.83/x
  3. Step 3: Cross multiply
    3,146.93x = 4,719.78 × 2,990.83
  4. Step 4: Simplify right side
    3,146.93x = 14,116,059.62
  5. Step 5: Solve for x
    x = 14,116,059.62/3,146.93
  6. Step 6: Final answer
    x = 4,485.66

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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.