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Finding the Fourth Proportional to 3,871, 5,806.45 and 2,635.35

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Solution

The fourth proportional to 3,871, 5,806.45 and 2,635.35 is: 3,952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871 : 5,806.45 = 2,635.35 : x
  2. Step 2: Convert to fraction form
    3,871/5,806.45 = 2,635.35/x
  3. Step 3: Cross multiply
    3,871x = 5,806.45 × 2,635.35
  4. Step 4: Simplify right side
    3,871x = 15,302,028.01
  5. Step 5: Solve for x
    x = 15,302,028.01/3,871
  6. Step 6: Final answer
    x = 3,952.99

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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.