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Finding the Fourth Proportional to 7,126.84, 9,837.78 and 6,379.48

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Solution

The fourth proportional to 7,126.84, 9,837.78 and 6,379.48 is: 8,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.84 : 9,837.78 = 6,379.48 : x
  2. Step 2: Convert to fraction form
    7,126.84/9,837.78 = 6,379.48/x
  3. Step 3: Cross multiply
    7,126.84x = 9,837.78 × 6,379.48
  4. Step 4: Simplify right side
    7,126.84x = 62,759,920.75
  5. Step 5: Solve for x
    x = 62,759,920.75/7,126.84
  6. Step 6: Final answer
    x = 8,806.14

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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.