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Finding the Fourth Proportional to 3,470.94, 5,207.76 and 1,828.80

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Solution

The fourth proportional to 3,470.94, 5,207.76 and 1,828.80 is: 2,743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.94 : 5,207.76 = 1,828.80 : x
  2. Step 2: Convert to fraction form
    3,470.94/5,207.76 = 1,828.80/x
  3. Step 3: Cross multiply
    3,470.94x = 5,207.76 × 1,828.80
  4. Step 4: Simplify right side
    3,470.94x = 9,523,951.49
  5. Step 5: Solve for x
    x = 9,523,951.49/3,470.94
  6. Step 6: Final answer
    x = 2,743.91

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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.