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Finding the Fourth Proportional to 6,892, 9,510.72 and 3,748.12

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Solution

The fourth proportional to 6,892, 9,510.72 and 3,748.12 is: 5,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892 : 9,510.72 = 3,748.12 : x
  2. Step 2: Convert to fraction form
    6,892/9,510.72 = 3,748.12/x
  3. Step 3: Cross multiply
    6,892x = 9,510.72 × 3,748.12
  4. Step 4: Simplify right side
    6,892x = 35,647,319.85
  5. Step 5: Solve for x
    x = 35,647,319.85/6,892
  6. Step 6: Final answer
    x = 5,172.28

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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.