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Finding the Fourth Proportional to 2,192.85, 3,290.46 and 894

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Solution

The fourth proportional to 2,192.85, 3,290.46 and 894 is: 1,341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.85 : 3,290.46 = 894 : x
  2. Step 2: Convert to fraction form
    2,192.85/3,290.46 = 894/x
  3. Step 3: Cross multiply
    2,192.85x = 3,290.46 × 894
  4. Step 4: Simplify right side
    2,192.85x = 2,941,671.24
  5. Step 5: Solve for x
    x = 2,941,671.24/2,192.85
  6. Step 6: Final answer
    x = 1,341.48

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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.