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Finding the Fourth Proportional to 1,684.73, 2,325.13 and 1,021.58

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Solution

The fourth proportional to 1,684.73, 2,325.13 and 1,021.58 is: 1,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.73 : 2,325.13 = 1,021.58 : x
  2. Step 2: Convert to fraction form
    1,684.73/2,325.13 = 1,021.58/x
  3. Step 3: Cross multiply
    1,684.73x = 2,325.13 × 1,021.58
  4. Step 4: Simplify right side
    1,684.73x = 2,375,304.68
  5. Step 5: Solve for x
    x = 2,375,304.68/1,684.73
  6. Step 6: Final answer
    x = 1,409.90

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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.