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Finding the Fourth Proportional to 3,112.91, 4,668.62 and 891.67

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Solution

The fourth proportional to 3,112.91, 4,668.62 and 891.67 is: 1,337.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.91 : 4,668.62 = 891.67 : x
  2. Step 2: Convert to fraction form
    3,112.91/4,668.62 = 891.67/x
  3. Step 3: Cross multiply
    3,112.91x = 4,668.62 × 891.67
  4. Step 4: Simplify right side
    3,112.91x = 4,162,868.40
  5. Step 5: Solve for x
    x = 4,162,868.40/3,112.91
  6. Step 6: Final answer
    x = 1,337.29

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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.