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Finding the Fourth Proportional to 3,146.45, 4,719.14 and 954.65

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Solution

The fourth proportional to 3,146.45, 4,719.14 and 954.65 is: 1,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.45 : 4,719.14 = 954.65 : x
  2. Step 2: Convert to fraction form
    3,146.45/4,719.14 = 954.65/x
  3. Step 3: Cross multiply
    3,146.45x = 4,719.14 × 954.65
  4. Step 4: Simplify right side
    3,146.45x = 4,505,098.63
  5. Step 5: Solve for x
    x = 4,505,098.63/3,146.45
  6. Step 6: Final answer
    x = 1,431.81

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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.