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Finding the Fourth Proportional to 1,995.91, 2,992.67 and 763.42

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Solution

The fourth proportional to 1,995.91, 2,992.67 and 763.42 is: 1,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.91 : 2,992.67 = 763.42 : x
  2. Step 2: Convert to fraction form
    1,995.91/2,992.67 = 763.42/x
  3. Step 3: Cross multiply
    1,995.91x = 2,992.67 × 763.42
  4. Step 4: Simplify right side
    1,995.91x = 2,284,664.13
  5. Step 5: Solve for x
    x = 2,284,664.13/1,995.91
  6. Step 6: Final answer
    x = 1,144.67

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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.