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Finding the Fourth Proportional to 2,891.72, 4,333.20 and 1,914.32

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Solution

The fourth proportional to 2,891.72, 4,333.20 and 1,914.32 is: 2,868.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.72 : 4,333.20 = 1,914.32 : x
  2. Step 2: Convert to fraction form
    2,891.72/4,333.20 = 1,914.32/x
  3. Step 3: Cross multiply
    2,891.72x = 4,333.20 × 1,914.32
  4. Step 4: Simplify right side
    2,891.72x = 8,295,131.42
  5. Step 5: Solve for x
    x = 8,295,131.42/2,891.72
  6. Step 6: Final answer
    x = 2,868.58

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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.