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Finding the Fourth Proportional to 9,131.67, 13,672.80 and 4,739.90

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Solution

The fourth proportional to 9,131.67, 13,672.80 and 4,739.90 is: 7,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.67 : 13,672.80 = 4,739.90 : x
  2. Step 2: Convert to fraction form
    9,131.67/13,672.80 = 4,739.90/x
  3. Step 3: Cross multiply
    9,131.67x = 13,672.80 × 4,739.90
  4. Step 4: Simplify right side
    9,131.67x = 64,807,704.72
  5. Step 5: Solve for x
    x = 64,807,704.72/9,131.67
  6. Step 6: Final answer
    x = 7,097.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.