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Finding the Fourth Proportional to 7,186.79, 10,780.19 and 1,992.67

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Solution

The fourth proportional to 7,186.79, 10,780.19 and 1,992.67 is: 2,989.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.79 : 10,780.19 = 1,992.67 : x
  2. Step 2: Convert to fraction form
    7,186.79/10,780.19 = 1,992.67/x
  3. Step 3: Cross multiply
    7,186.79x = 10,780.19 × 1,992.67
  4. Step 4: Simplify right side
    7,186.79x = 21,481,361.21
  5. Step 5: Solve for x
    x = 21,481,361.21/7,186.79
  6. Step 6: Final answer
    x = 2,989.01

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1.5x scale

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.