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Finding the Fourth Proportional to 2,871.05, 4,295.23 and 2,849.99

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Solution

The fourth proportional to 2,871.05, 4,295.23 and 2,849.99 is: 4,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.05 : 4,295.23 = 2,849.99 : x
  2. Step 2: Convert to fraction form
    2,871.05/4,295.23 = 2,849.99/x
  3. Step 3: Cross multiply
    2,871.05x = 4,295.23 × 2,849.99
  4. Step 4: Simplify right side
    2,871.05x = 12,241,333.95
  5. Step 5: Solve for x
    x = 12,241,333.95/2,871.05
  6. Step 6: Final answer
    x = 4,263.72

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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.