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Finding the Fourth Proportional to 2,321.68, 3,204.92 and 1,390

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Solution

The fourth proportional to 2,321.68, 3,204.92 and 1,390 is: 1,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.68 : 3,204.92 = 1,390 : x
  2. Step 2: Convert to fraction form
    2,321.68/3,204.92 = 1,390/x
  3. Step 3: Cross multiply
    2,321.68x = 3,204.92 × 1,390
  4. Step 4: Simplify right side
    2,321.68x = 4,454,838.80
  5. Step 5: Solve for x
    x = 4,454,838.80/2,321.68
  6. Step 6: Final answer
    x = 1,918.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.