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Finding the Fourth Proportional to 2,771.82, 4,157.80 and 824.04

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Solution

The fourth proportional to 2,771.82, 4,157.80 and 824.04 is: 1,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.82 : 4,157.80 = 824.04 : x
  2. Step 2: Convert to fraction form
    2,771.82/4,157.80 = 824.04/x
  3. Step 3: Cross multiply
    2,771.82x = 4,157.80 × 824.04
  4. Step 4: Simplify right side
    2,771.82x = 3,426,191.45
  5. Step 5: Solve for x
    x = 3,426,191.45/2,771.82
  6. Step 6: Final answer
    x = 1,236.08

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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.