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Finding the Fourth Proportional to 1,951.63, 2,694.94 and 1,423.51

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Solution

The fourth proportional to 1,951.63, 2,694.94 and 1,423.51 is: 1,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.63 : 2,694.94 = 1,423.51 : x
  2. Step 2: Convert to fraction form
    1,951.63/2,694.94 = 1,423.51/x
  3. Step 3: Cross multiply
    1,951.63x = 2,694.94 × 1,423.51
  4. Step 4: Simplify right side
    1,951.63x = 3,836,263.74
  5. Step 5: Solve for x
    x = 3,836,263.74/1,951.63
  6. Step 6: Final answer
    x = 1,965.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.