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Finding the Fourth Proportional to 1,881.74, 2,821.24 and 786.42

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Solution

The fourth proportional to 1,881.74, 2,821.24 and 786.42 is: 1,179.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.74 : 2,821.24 = 786.42 : x
  2. Step 2: Convert to fraction form
    1,881.74/2,821.24 = 786.42/x
  3. Step 3: Cross multiply
    1,881.74x = 2,821.24 × 786.42
  4. Step 4: Simplify right side
    1,881.74x = 2,218,669.96
  5. Step 5: Solve for x
    x = 2,218,669.96/1,881.74
  6. Step 6: Final answer
    x = 1,179.05

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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.