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Finding the Fourth Proportional to 2,993.12, 4,488 and 1,237.12

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Solution

The fourth proportional to 2,993.12, 4,488 and 1,237.12 is: 1,854.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.12 : 4,488 = 1,237.12 : x
  2. Step 2: Convert to fraction form
    2,993.12/4,488 = 1,237.12/x
  3. Step 3: Cross multiply
    2,993.12x = 4,488 × 1,237.12
  4. Step 4: Simplify right side
    2,993.12x = 5,552,194.56
  5. Step 5: Solve for x
    x = 5,552,194.56/2,993.12
  6. Step 6: Final answer
    x = 1,854.99

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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.