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Finding the Fourth Proportional to 9,379.50, 14,069.93 and 7,731.05

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Solution

The fourth proportional to 9,379.50, 14,069.93 and 7,731.05 is: 11,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.50 : 14,069.93 = 7,731.05 : x
  2. Step 2: Convert to fraction form
    9,379.50/14,069.93 = 7,731.05/x
  3. Step 3: Cross multiply
    9,379.50x = 14,069.93 × 7,731.05
  4. Step 4: Simplify right side
    9,379.50x = 108,775,245.07
  5. Step 5: Solve for x
    x = 108,775,245.07/9,379.50
  6. Step 6: Final answer
    x = 11,597.13

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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.