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Finding the Fourth Proportional to 3,866.40, 5,802.80 and 1,789.60

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Solution

The fourth proportional to 3,866.40, 5,802.80 and 1,789.60 is: 2,685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.40 : 5,802.80 = 1,789.60 : x
  2. Step 2: Convert to fraction form
    3,866.40/5,802.80 = 1,789.60/x
  3. Step 3: Cross multiply
    3,866.40x = 5,802.80 × 1,789.60
  4. Step 4: Simplify right side
    3,866.40x = 10,384,690.88
  5. Step 5: Solve for x
    x = 10,384,690.88/3,866.40
  6. Step 6: Final answer
    x = 2,685.88

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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.