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Finding the Fourth Proportional to 3,424.12, 5,137.04 and 958.95

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Solution

The fourth proportional to 3,424.12, 5,137.04 and 958.95 is: 1,438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.12 : 5,137.04 = 958.95 : x
  2. Step 2: Convert to fraction form
    3,424.12/5,137.04 = 958.95/x
  3. Step 3: Cross multiply
    3,424.12x = 5,137.04 × 958.95
  4. Step 4: Simplify right side
    3,424.12x = 4,926,166.91
  5. Step 5: Solve for x
    x = 4,926,166.91/3,424.12
  6. Step 6: Final answer
    x = 1,438.67

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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.