Home / 1,122.88-1,680.32-1,084.80

Finding the Fourth Proportional to 1,122.88, 1,680.32 and 1,084.80

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Solution

The fourth proportional to 1,122.88, 1,680.32 and 1,084.80 is: 1,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.88 : 1,680.32 = 1,084.80 : x
  2. Step 2: Convert to fraction form
    1,122.88/1,680.32 = 1,084.80/x
  3. Step 3: Cross multiply
    1,122.88x = 1,680.32 × 1,084.80
  4. Step 4: Simplify right side
    1,122.88x = 1,822,811.14
  5. Step 5: Solve for x
    x = 1,822,811.14/1,122.88
  6. Step 6: Final answer
    x = 1,623.34

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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.