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Finding the Fourth Proportional to 3,950.40, 5,926.32 and 2,282.88

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Solution

The fourth proportional to 3,950.40, 5,926.32 and 2,282.88 is: 3,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.40 : 5,926.32 = 2,282.88 : x
  2. Step 2: Convert to fraction form
    3,950.40/5,926.32 = 2,282.88/x
  3. Step 3: Cross multiply
    3,950.40x = 5,926.32 × 2,282.88
  4. Step 4: Simplify right side
    3,950.40x = 13,529,077.40
  5. Step 5: Solve for x
    x = 13,529,077.40/3,950.40
  6. Step 6: Final answer
    x = 3,424.74

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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.