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Finding the Fourth Proportional to 5,615.75, 7,749.78 and 3,131.75

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Solution

The fourth proportional to 5,615.75, 7,749.78 and 3,131.75 is: 4,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.75 : 7,749.78 = 3,131.75 : x
  2. Step 2: Convert to fraction form
    5,615.75/7,749.78 = 3,131.75/x
  3. Step 3: Cross multiply
    5,615.75x = 7,749.78 × 3,131.75
  4. Step 4: Simplify right side
    5,615.75x = 24,270,373.52
  5. Step 5: Solve for x
    x = 24,270,373.52/5,615.75
  6. Step 6: Final answer
    x = 4,321.84

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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.