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Finding the Fourth Proportional to 5,118.76, 7,678.62 and 2,041

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Solution

The fourth proportional to 5,118.76, 7,678.62 and 2,041 is: 3,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.76 : 7,678.62 = 2,041 : x
  2. Step 2: Convert to fraction form
    5,118.76/7,678.62 = 2,041/x
  3. Step 3: Cross multiply
    5,118.76x = 7,678.62 × 2,041
  4. Step 4: Simplify right side
    5,118.76x = 15,672,063.42
  5. Step 5: Solve for x
    x = 15,672,063.42/5,118.76
  6. Step 6: Final answer
    x = 3,061.69

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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.