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Finding the Fourth Proportional to 2,284.66, 3,426.96 and 641.12

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Solution

The fourth proportional to 2,284.66, 3,426.96 and 641.12 is: 961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.66 : 3,426.96 = 641.12 : x
  2. Step 2: Convert to fraction form
    2,284.66/3,426.96 = 641.12/x
  3. Step 3: Cross multiply
    2,284.66x = 3,426.96 × 641.12
  4. Step 4: Simplify right side
    2,284.66x = 2,197,074.26
  5. Step 5: Solve for x
    x = 2,197,074.26/2,284.66
  6. Step 6: Final answer
    x = 961.67

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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.