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Finding the Fourth Proportional to 3,978.05, 5,967.08 and 1,056.29

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Solution

The fourth proportional to 3,978.05, 5,967.08 and 1,056.29 is: 1,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.05 : 5,967.08 = 1,056.29 : x
  2. Step 2: Convert to fraction form
    3,978.05/5,967.08 = 1,056.29/x
  3. Step 3: Cross multiply
    3,978.05x = 5,967.08 × 1,056.29
  4. Step 4: Simplify right side
    3,978.05x = 6,302,939.74
  5. Step 5: Solve for x
    x = 6,302,939.74/3,978.05
  6. Step 6: Final answer
    x = 1,584.43

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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.