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Finding the Fourth Proportional to 6,773.04, 9,345.60 and 3,978

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Solution

The fourth proportional to 6,773.04, 9,345.60 and 3,978 is: 5,488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.04 : 9,345.60 = 3,978 : x
  2. Step 2: Convert to fraction form
    6,773.04/9,345.60 = 3,978/x
  3. Step 3: Cross multiply
    6,773.04x = 9,345.60 × 3,978
  4. Step 4: Simplify right side
    6,773.04x = 37,176,796.80
  5. Step 5: Solve for x
    x = 37,176,796.80/6,773.04
  6. Step 6: Final answer
    x = 5,488.94

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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.