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Finding the Fourth Proportional to 3,965.36, 5,947.80 and 1,656.88

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Solution

The fourth proportional to 3,965.36, 5,947.80 and 1,656.88 is: 2,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.36 : 5,947.80 = 1,656.88 : x
  2. Step 2: Convert to fraction form
    3,965.36/5,947.80 = 1,656.88/x
  3. Step 3: Cross multiply
    3,965.36x = 5,947.80 × 1,656.88
  4. Step 4: Simplify right side
    3,965.36x = 9,854,790.86
  5. Step 5: Solve for x
    x = 9,854,790.86/3,965.36
  6. Step 6: Final answer
    x = 2,485.22

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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.