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Finding the Fourth Proportional to 6,892.20, 9,511.20 and 3,748.38

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Solution

The fourth proportional to 6,892.20, 9,511.20 and 3,748.38 is: 5,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.20 : 9,511.20 = 3,748.38 : x
  2. Step 2: Convert to fraction form
    6,892.20/9,511.20 = 3,748.38/x
  3. Step 3: Cross multiply
    6,892.20x = 9,511.20 × 3,748.38
  4. Step 4: Simplify right side
    6,892.20x = 35,651,591.86
  5. Step 5: Solve for x
    x = 35,651,591.86/6,892.20
  6. Step 6: Final answer
    x = 5,172.74

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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.