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Finding the Fourth Proportional to 6,128.24, 9,195.86 and 5,100.69

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Solution

The fourth proportional to 6,128.24, 9,195.86 and 5,100.69 is: 7,653.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.24 : 9,195.86 = 5,100.69 : x
  2. Step 2: Convert to fraction form
    6,128.24/9,195.86 = 5,100.69/x
  3. Step 3: Cross multiply
    6,128.24x = 9,195.86 × 5,100.69
  4. Step 4: Simplify right side
    6,128.24x = 46,905,205.64
  5. Step 5: Solve for x
    x = 46,905,205.64/6,128.24
  6. Step 6: Final answer
    x = 7,653.95

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