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Finding the Fourth Proportional to 9,704, 13,392.60 and 5,978

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Solution

The fourth proportional to 9,704, 13,392.60 and 5,978 is: 8,250.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704 : 13,392.60 = 5,978 : x
  2. Step 2: Convert to fraction form
    9,704/13,392.60 = 5,978/x
  3. Step 3: Cross multiply
    9,704x = 13,392.60 × 5,978
  4. Step 4: Simplify right side
    9,704x = 80,060,962.80
  5. Step 5: Solve for x
    x = 80,060,962.80/9,704
  6. Step 6: Final answer
    x = 8,250.31

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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.