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Finding the Fourth Proportional to 5,296.70, 7,945.42 and 2,176.86

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Solution

The fourth proportional to 5,296.70, 7,945.42 and 2,176.86 is: 3,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.70 : 7,945.42 = 2,176.86 : x
  2. Step 2: Convert to fraction form
    5,296.70/7,945.42 = 2,176.86/x
  3. Step 3: Cross multiply
    5,296.70x = 7,945.42 × 2,176.86
  4. Step 4: Simplify right side
    5,296.70x = 17,296,066.98
  5. Step 5: Solve for x
    x = 17,296,066.98/5,296.70
  6. Step 6: Final answer
    x = 3,265.44

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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.