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Finding the Fourth Proportional to 7,126.92, 9,837.86 and 6,379.49

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Solution

The fourth proportional to 7,126.92, 9,837.86 and 6,379.49 is: 8,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.92 : 9,837.86 = 6,379.49 : x
  2. Step 2: Convert to fraction form
    7,126.92/9,837.86 = 6,379.49/x
  3. Step 3: Cross multiply
    7,126.92x = 9,837.86 × 6,379.49
  4. Step 4: Simplify right side
    7,126.92x = 62,760,522.19
  5. Step 5: Solve for x
    x = 62,760,522.19/7,126.92
  6. Step 6: Final answer
    x = 8,806.12

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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.