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Finding the Fourth Proportional to 1,739.48, 2,400.50 and 993.53

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Solution

The fourth proportional to 1,739.48, 2,400.50 and 993.53 is: 1,371.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.48 : 2,400.50 = 993.53 : x
  2. Step 2: Convert to fraction form
    1,739.48/2,400.50 = 993.53/x
  3. Step 3: Cross multiply
    1,739.48x = 2,400.50 × 993.53
  4. Step 4: Simplify right side
    1,739.48x = 2,384,969.80
  5. Step 5: Solve for x
    x = 2,384,969.80/1,739.48
  6. Step 6: Final answer
    x = 1,371.09

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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.