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Finding the Fourth Proportional to 5,189.76, 7,164 and 3,697.92

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Solution

The fourth proportional to 5,189.76, 7,164 and 3,697.92 is: 5,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.76 : 7,164 = 3,697.92 : x
  2. Step 2: Convert to fraction form
    5,189.76/7,164 = 3,697.92/x
  3. Step 3: Cross multiply
    5,189.76x = 7,164 × 3,697.92
  4. Step 4: Simplify right side
    5,189.76x = 26,491,898.88
  5. Step 5: Solve for x
    x = 26,491,898.88/5,189.76
  6. Step 6: Final answer
    x = 5,104.65

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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.