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Finding the Fourth Proportional to 5,940.24, 8,909.32 and 1,991.24

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Solution

The fourth proportional to 5,940.24, 8,909.32 and 1,991.24 is: 2,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.24 : 8,909.32 = 1,991.24 : x
  2. Step 2: Convert to fraction form
    5,940.24/8,909.32 = 1,991.24/x
  3. Step 3: Cross multiply
    5,940.24x = 8,909.32 × 1,991.24
  4. Step 4: Simplify right side
    5,940.24x = 17,740,594.36
  5. Step 5: Solve for x
    x = 17,740,594.36/5,940.24
  6. Step 6: Final answer
    x = 2,986.51

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1.5x scale

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.