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Finding the Fourth Proportional to 1,684.09, 2,324.09 and 927.83

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Solution

The fourth proportional to 1,684.09, 2,324.09 and 927.83 is: 1,280.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.09 : 2,324.09 = 927.83 : x
  2. Step 2: Convert to fraction form
    1,684.09/2,324.09 = 927.83/x
  3. Step 3: Cross multiply
    1,684.09x = 2,324.09 × 927.83
  4. Step 4: Simplify right side
    1,684.09x = 2,156,351.12
  5. Step 5: Solve for x
    x = 2,156,351.12/1,684.09
  6. Step 6: Final answer
    x = 1,280.43

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1.5x scale

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.