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Finding the Fourth Proportional to 1,971.36, 2,953.92 and 996.12

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Solution

The fourth proportional to 1,971.36, 2,953.92 and 996.12 is: 1,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.36 : 2,953.92 = 996.12 : x
  2. Step 2: Convert to fraction form
    1,971.36/2,953.92 = 996.12/x
  3. Step 3: Cross multiply
    1,971.36x = 2,953.92 × 996.12
  4. Step 4: Simplify right side
    1,971.36x = 2,942,458.79
  5. Step 5: Solve for x
    x = 2,942,458.79/1,971.36
  6. Step 6: Final answer
    x = 1,492.60

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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.