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Finding the Fourth Proportional to 5,978.88, 8,973 and 4,142.88

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Solution

The fourth proportional to 5,978.88, 8,973 and 4,142.88 is: 6,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.88 : 8,973 = 4,142.88 : x
  2. Step 2: Convert to fraction form
    5,978.88/8,973 = 4,142.88/x
  3. Step 3: Cross multiply
    5,978.88x = 8,973 × 4,142.88
  4. Step 4: Simplify right side
    5,978.88x = 37,174,062.24
  5. Step 5: Solve for x
    x = 37,174,062.24/5,978.88
  6. Step 6: Final answer
    x = 6,217.56

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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.