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Finding the Fourth Proportional to 3,171.70, 4,756.88 and 950.58

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Solution

The fourth proportional to 3,171.70, 4,756.88 and 950.58 is: 1,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.70 : 4,756.88 = 950.58 : x
  2. Step 2: Convert to fraction form
    3,171.70/4,756.88 = 950.58/x
  3. Step 3: Cross multiply
    3,171.70x = 4,756.88 × 950.58
  4. Step 4: Simplify right side
    3,171.70x = 4,521,794.99
  5. Step 5: Solve for x
    x = 4,521,794.99/3,171.70
  6. Step 6: Final answer
    x = 1,425.67

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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.