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Finding the Fourth Proportional to 2,871, 4,307.22 and 819

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Solution

The fourth proportional to 2,871, 4,307.22 and 819 is: 1,228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871 : 4,307.22 = 819 : x
  2. Step 2: Convert to fraction form
    2,871/4,307.22 = 819/x
  3. Step 3: Cross multiply
    2,871x = 4,307.22 × 819
  4. Step 4: Simplify right side
    2,871x = 3,527,613.18
  5. Step 5: Solve for x
    x = 3,527,613.18/2,871
  6. Step 6: Final answer
    x = 1,228.71

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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.