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Finding the Fourth Proportional to 3,739.15, 5,609.04 and 965.80

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Solution

The fourth proportional to 3,739.15, 5,609.04 and 965.80 is: 1,448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.15 : 5,609.04 = 965.80 : x
  2. Step 2: Convert to fraction form
    3,739.15/5,609.04 = 965.80/x
  3. Step 3: Cross multiply
    3,739.15x = 5,609.04 × 965.80
  4. Step 4: Simplify right side
    3,739.15x = 5,417,210.83
  5. Step 5: Solve for x
    x = 5,417,210.83/3,739.15
  6. Step 6: Final answer
    x = 1,448.78

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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.