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Finding the Fourth Proportional to 1,661.67, 2,293.17 and 1,023.75

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Solution

The fourth proportional to 1,661.67, 2,293.17 and 1,023.75 is: 1,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.67 : 2,293.17 = 1,023.75 : x
  2. Step 2: Convert to fraction form
    1,661.67/2,293.17 = 1,023.75/x
  3. Step 3: Cross multiply
    1,661.67x = 2,293.17 × 1,023.75
  4. Step 4: Simplify right side
    1,661.67x = 2,347,632.79
  5. Step 5: Solve for x
    x = 2,347,632.79/1,661.67
  6. Step 6: Final answer
    x = 1,412.82

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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.