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Finding the Fourth Proportional to 2,992.80, 4,488.56 and 939.68

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Solution

The fourth proportional to 2,992.80, 4,488.56 and 939.68 is: 1,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.80 : 4,488.56 = 939.68 : x
  2. Step 2: Convert to fraction form
    2,992.80/4,488.56 = 939.68/x
  3. Step 3: Cross multiply
    2,992.80x = 4,488.56 × 939.68
  4. Step 4: Simplify right side
    2,992.80x = 4,217,810.06
  5. Step 5: Solve for x
    x = 4,217,810.06/2,992.80
  6. Step 6: Final answer
    x = 1,409.32

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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.