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Finding the Fourth Proportional to 2,290.88, 3,437.16 and 993.26

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Solution

The fourth proportional to 2,290.88, 3,437.16 and 993.26 is: 1,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.88 : 3,437.16 = 993.26 : x
  2. Step 2: Convert to fraction form
    2,290.88/3,437.16 = 993.26/x
  3. Step 3: Cross multiply
    2,290.88x = 3,437.16 × 993.26
  4. Step 4: Simplify right side
    2,290.88x = 3,413,993.54
  5. Step 5: Solve for x
    x = 3,413,993.54/2,290.88
  6. Step 6: Final answer
    x = 1,490.25

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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.