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Finding the Fourth Proportional to 7,806.75, 11,710.17 and 3,128.82

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Solution

The fourth proportional to 7,806.75, 11,710.17 and 3,128.82 is: 4,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.75 : 11,710.17 = 3,128.82 : x
  2. Step 2: Convert to fraction form
    7,806.75/11,710.17 = 3,128.82/x
  3. Step 3: Cross multiply
    7,806.75x = 11,710.17 × 3,128.82
  4. Step 4: Simplify right side
    7,806.75x = 36,639,014.10
  5. Step 5: Solve for x
    x = 36,639,014.10/7,806.75
  6. Step 6: Final answer
    x = 4,693.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.