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Finding the Fourth Proportional to 2,894.45, 3,992.81 and 1,715.90

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Solution

The fourth proportional to 2,894.45, 3,992.81 and 1,715.90 is: 2,367.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.45 : 3,992.81 = 1,715.90 : x
  2. Step 2: Convert to fraction form
    2,894.45/3,992.81 = 1,715.90/x
  3. Step 3: Cross multiply
    2,894.45x = 3,992.81 × 1,715.90
  4. Step 4: Simplify right side
    2,894.45x = 6,851,234.14
  5. Step 5: Solve for x
    x = 6,851,234.14/2,894.45
  6. Step 6: Final answer
    x = 2,367.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.