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Finding the Fourth Proportional to 2,768.19, 4,153.09 and 894.03

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Solution

The fourth proportional to 2,768.19, 4,153.09 and 894.03 is: 1,341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.19 : 4,153.09 = 894.03 : x
  2. Step 2: Convert to fraction form
    2,768.19/4,153.09 = 894.03/x
  3. Step 3: Cross multiply
    2,768.19x = 4,153.09 × 894.03
  4. Step 4: Simplify right side
    2,768.19x = 3,712,995.20
  5. Step 5: Solve for x
    x = 3,712,995.20/2,768.19
  6. Step 6: Final answer
    x = 1,341.31

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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.