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Finding the Fourth Proportional to 1,329.92, 1,992.16 and 1,084

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Solution

The fourth proportional to 1,329.92, 1,992.16 and 1,084 is: 1,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.92 : 1,992.16 = 1,084 : x
  2. Step 2: Convert to fraction form
    1,329.92/1,992.16 = 1,084/x
  3. Step 3: Cross multiply
    1,329.92x = 1,992.16 × 1,084
  4. Step 4: Simplify right side
    1,329.92x = 2,159,501.44
  5. Step 5: Solve for x
    x = 2,159,501.44/1,329.92
  6. Step 6: Final answer
    x = 1,623.78

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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.