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Finding the Fourth Proportional to 2,971.91, 4,458.85 and 997.73

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Solution

The fourth proportional to 2,971.91, 4,458.85 and 997.73 is: 1,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.91 : 4,458.85 = 997.73 : x
  2. Step 2: Convert to fraction form
    2,971.91/4,458.85 = 997.73/x
  3. Step 3: Cross multiply
    2,971.91x = 4,458.85 × 997.73
  4. Step 4: Simplify right side
    2,971.91x = 4,448,745.42
  5. Step 5: Solve for x
    x = 4,448,745.42/2,971.91
  6. Step 6: Final answer
    x = 1,496.93

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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.