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Finding the Fourth Proportional to 6,978, 9,629.64 and 4,184.04

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Solution

The fourth proportional to 6,978, 9,629.64 and 4,184.04 is: 5,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978 : 9,629.64 = 4,184.04 : x
  2. Step 2: Convert to fraction form
    6,978/9,629.64 = 4,184.04/x
  3. Step 3: Cross multiply
    6,978x = 9,629.64 × 4,184.04
  4. Step 4: Simplify right side
    6,978x = 40,290,798.95
  5. Step 5: Solve for x
    x = 40,290,798.95/6,978
  6. Step 6: Final answer
    x = 5,773.98

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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.