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Finding the Fourth Proportional to 5,739.47, 7,920.48 and 3,221.24

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Solution

The fourth proportional to 5,739.47, 7,920.48 and 3,221.24 is: 4,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.47 : 7,920.48 = 3,221.24 : x
  2. Step 2: Convert to fraction form
    5,739.47/7,920.48 = 3,221.24/x
  3. Step 3: Cross multiply
    5,739.47x = 7,920.48 × 3,221.24
  4. Step 4: Simplify right side
    5,739.47x = 25,513,727.39
  5. Step 5: Solve for x
    x = 25,513,727.39/5,739.47
  6. Step 6: Final answer
    x = 4,445.31

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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.