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Finding the Fourth Proportional to 3,978.44, 5,967.04 and 1,056.88

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Solution

The fourth proportional to 3,978.44, 5,967.04 and 1,056.88 is: 1,585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.44 : 5,967.04 = 1,056.88 : x
  2. Step 2: Convert to fraction form
    3,978.44/5,967.04 = 1,056.88/x
  3. Step 3: Cross multiply
    3,978.44x = 5,967.04 × 1,056.88
  4. Step 4: Simplify right side
    3,978.44x = 6,306,445.24
  5. Step 5: Solve for x
    x = 6,306,445.24/3,978.44
  6. Step 6: Final answer
    x = 1,585.16

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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.