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Finding the Fourth Proportional to 9,956, 13,739.30 and 5,766.68

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Solution

The fourth proportional to 9,956, 13,739.30 and 5,766.68 is: 7,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956 : 13,739.30 = 5,766.68 : x
  2. Step 2: Convert to fraction form
    9,956/13,739.30 = 5,766.68/x
  3. Step 3: Cross multiply
    9,956x = 13,739.30 × 5,766.68
  4. Step 4: Simplify right side
    9,956x = 79,230,146.52
  5. Step 5: Solve for x
    x = 79,230,146.52/9,956
  6. Step 6: Final answer
    x = 7,958.03

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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.