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Finding the Fourth Proportional to 3,192.89, 4,789.33 and 971.73

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Solution

The fourth proportional to 3,192.89, 4,789.33 and 971.73 is: 1,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.89 : 4,789.33 = 971.73 : x
  2. Step 2: Convert to fraction form
    3,192.89/4,789.33 = 971.73/x
  3. Step 3: Cross multiply
    3,192.89x = 4,789.33 × 971.73
  4. Step 4: Simplify right side
    3,192.89x = 4,653,933.21
  5. Step 5: Solve for x
    x = 4,653,933.21/3,192.89
  6. Step 6: Final answer
    x = 1,457.60

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Similar ratio
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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.