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Finding the Fourth Proportional to 3,978.87, 5,968.47 and 1,057.20

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Solution

The fourth proportional to 3,978.87, 5,968.47 and 1,057.20 is: 1,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.87 : 5,968.47 = 1,057.20 : x
  2. Step 2: Convert to fraction form
    3,978.87/5,968.47 = 1,057.20/x
  3. Step 3: Cross multiply
    3,978.87x = 5,968.47 × 1,057.20
  4. Step 4: Simplify right side
    3,978.87x = 6,309,866.48
  5. Step 5: Solve for x
    x = 6,309,866.48/3,978.87
  6. Step 6: Final answer
    x = 1,585.84

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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.