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Finding the Fourth Proportional to 5,291.85, 7,935.95 and 2,170.98

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Solution

The fourth proportional to 5,291.85, 7,935.95 and 2,170.98 is: 3,255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.85 : 7,935.95 = 2,170.98 : x
  2. Step 2: Convert to fraction form
    5,291.85/7,935.95 = 2,170.98/x
  3. Step 3: Cross multiply
    5,291.85x = 7,935.95 × 2,170.98
  4. Step 4: Simplify right side
    5,291.85x = 17,228,749.05
  5. Step 5: Solve for x
    x = 17,228,749.05/5,291.85
  6. Step 6: Final answer
    x = 3,255.71

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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.