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Finding the Fourth Proportional to 3,148.94, 4,719.93 and 1,299.56

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Solution

The fourth proportional to 3,148.94, 4,719.93 and 1,299.56 is: 1,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.94 : 4,719.93 = 1,299.56 : x
  2. Step 2: Convert to fraction form
    3,148.94/4,719.93 = 1,299.56/x
  3. Step 3: Cross multiply
    3,148.94x = 4,719.93 × 1,299.56
  4. Step 4: Simplify right side
    3,148.94x = 6,133,819.53
  5. Step 5: Solve for x
    x = 6,133,819.53/3,148.94
  6. Step 6: Final answer
    x = 1,947.90

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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.