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Finding the Fourth Proportional to 3,858.76, 5,784.90 and 1,260.28

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Solution

The fourth proportional to 3,858.76, 5,784.90 and 1,260.28 is: 1,889.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.76 : 5,784.90 = 1,260.28 : x
  2. Step 2: Convert to fraction form
    3,858.76/5,784.90 = 1,260.28/x
  3. Step 3: Cross multiply
    3,858.76x = 5,784.90 × 1,260.28
  4. Step 4: Simplify right side
    3,858.76x = 7,290,593.77
  5. Step 5: Solve for x
    x = 7,290,593.77/3,858.76
  6. Step 6: Final answer
    x = 1,889.36

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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.