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Finding the Fourth Proportional to 3,991.98, 5,509.61 and 3,045.98

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Solution

The fourth proportional to 3,991.98, 5,509.61 and 3,045.98 is: 4,203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.98 : 5,509.61 = 3,045.98 : x
  2. Step 2: Convert to fraction form
    3,991.98/5,509.61 = 3,045.98/x
  3. Step 3: Cross multiply
    3,991.98x = 5,509.61 × 3,045.98
  4. Step 4: Simplify right side
    3,991.98x = 16,782,171.83
  5. Step 5: Solve for x
    x = 16,782,171.83/3,991.98
  6. Step 6: Final answer
    x = 4,203.97

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1.5x scale

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.