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Finding the Fourth Proportional to 2,971.12, 4,456.16 and 996.62

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Solution

The fourth proportional to 2,971.12, 4,456.16 and 996.62 is: 1,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.12 : 4,456.16 = 996.62 : x
  2. Step 2: Convert to fraction form
    2,971.12/4,456.16 = 996.62/x
  3. Step 3: Cross multiply
    2,971.12x = 4,456.16 × 996.62
  4. Step 4: Simplify right side
    2,971.12x = 4,441,098.18
  5. Step 5: Solve for x
    x = 4,441,098.18/2,971.12
  6. Step 6: Final answer
    x = 1,494.76

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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.