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Finding the Fourth Proportional to 1,739.83, 2,400.37 and 993.26

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Solution

The fourth proportional to 1,739.83, 2,400.37 and 993.26 is: 1,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.83 : 2,400.37 = 993.26 : x
  2. Step 2: Convert to fraction form
    1,739.83/2,400.37 = 993.26/x
  3. Step 3: Cross multiply
    1,739.83x = 2,400.37 × 993.26
  4. Step 4: Simplify right side
    1,739.83x = 2,384,179.50
  5. Step 5: Solve for x
    x = 2,384,179.50/1,739.83
  6. Step 6: Final answer
    x = 1,370.35

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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.