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Finding the Fourth Proportional to 11,768.69, 17,657.08 and 7,381.01

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Solution

The fourth proportional to 11,768.69, 17,657.08 and 7,381.01 is: 11,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.69 : 17,657.08 = 7,381.01 : x
  2. Step 2: Convert to fraction form
    11,768.69/17,657.08 = 7,381.01/x
  3. Step 3: Cross multiply
    11,768.69x = 17,657.08 × 7,381.01
  4. Step 4: Simplify right side
    11,768.69x = 130,327,084.05
  5. Step 5: Solve for x
    x = 130,327,084.05/11,768.69
  6. Step 6: Final answer
    x = 11,074.05

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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.