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Finding the Fourth Proportional to 5,927.90, 8,178.46 and 3,375.40

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Solution

The fourth proportional to 5,927.90, 8,178.46 and 3,375.40 is: 4,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.90 : 8,178.46 = 3,375.40 : x
  2. Step 2: Convert to fraction form
    5,927.90/8,178.46 = 3,375.40/x
  3. Step 3: Cross multiply
    5,927.90x = 8,178.46 × 3,375.40
  4. Step 4: Simplify right side
    5,927.90x = 27,605,573.88
  5. Step 5: Solve for x
    x = 27,605,573.88/5,927.90
  6. Step 6: Final answer
    x = 4,656.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.