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Finding the Fourth Proportional to 3,073.28, 4,608.86 and 992.75

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Solution

The fourth proportional to 3,073.28, 4,608.86 and 992.75 is: 1,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.28 : 4,608.86 = 992.75 : x
  2. Step 2: Convert to fraction form
    3,073.28/4,608.86 = 992.75/x
  3. Step 3: Cross multiply
    3,073.28x = 4,608.86 × 992.75
  4. Step 4: Simplify right side
    3,073.28x = 4,575,417.76
  5. Step 5: Solve for x
    x = 4,575,417.76/3,073.28
  6. Step 6: Final answer
    x = 1,488.78

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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.