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Finding the Fourth Proportional to 5,667.93, 7,821.78 and 3,309.63

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Solution

The fourth proportional to 5,667.93, 7,821.78 and 3,309.63 is: 4,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.93 : 7,821.78 = 3,309.63 : x
  2. Step 2: Convert to fraction form
    5,667.93/7,821.78 = 3,309.63/x
  3. Step 3: Cross multiply
    5,667.93x = 7,821.78 × 3,309.63
  4. Step 4: Simplify right side
    5,667.93x = 25,887,197.74
  5. Step 5: Solve for x
    x = 25,887,197.74/5,667.93
  6. Step 6: Final answer
    x = 4,567.31

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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.