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Finding the Fourth Proportional to 2,470.74, 3,708.99 and 1,951.09

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Solution

The fourth proportional to 2,470.74, 3,708.99 and 1,951.09 is: 2,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.74 : 3,708.99 = 1,951.09 : x
  2. Step 2: Convert to fraction form
    2,470.74/3,708.99 = 1,951.09/x
  3. Step 3: Cross multiply
    2,470.74x = 3,708.99 × 1,951.09
  4. Step 4: Simplify right side
    2,470.74x = 7,236,564.03
  5. Step 5: Solve for x
    x = 7,236,564.03/2,470.74
  6. Step 6: Final answer
    x = 2,928.91

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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.