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Finding the Fourth Proportional to 2,771.72, 4,157.58 and 2,195

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Solution

The fourth proportional to 2,771.72, 4,157.58 and 2,195 is: 3,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.72 : 4,157.58 = 2,195 : x
  2. Step 2: Convert to fraction form
    2,771.72/4,157.58 = 2,195/x
  3. Step 3: Cross multiply
    2,771.72x = 4,157.58 × 2,195
  4. Step 4: Simplify right side
    2,771.72x = 9,125,888.10
  5. Step 5: Solve for x
    x = 9,125,888.10/2,771.72
  6. Step 6: Final answer
    x = 3,292.50

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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.