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Finding the Fourth Proportional to 3,896.96, 5,854.04 and 3,378.56

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Solution

The fourth proportional to 3,896.96, 5,854.04 and 3,378.56 is: 5,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.96 : 5,854.04 = 3,378.56 : x
  2. Step 2: Convert to fraction form
    3,896.96/5,854.04 = 3,378.56/x
  3. Step 3: Cross multiply
    3,896.96x = 5,854.04 × 3,378.56
  4. Step 4: Simplify right side
    3,896.96x = 19,778,225.38
  5. Step 5: Solve for x
    x = 19,778,225.38/3,896.96
  6. Step 6: Final answer
    x = 5,075.30

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1.5x scale

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.