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Finding the Fourth Proportional to 7,842.97, 11,759.05 and 3,945.25

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Solution

The fourth proportional to 7,842.97, 11,759.05 and 3,945.25 is: 5,915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.97 : 11,759.05 = 3,945.25 : x
  2. Step 2: Convert to fraction form
    7,842.97/11,759.05 = 3,945.25/x
  3. Step 3: Cross multiply
    7,842.97x = 11,759.05 × 3,945.25
  4. Step 4: Simplify right side
    7,842.97x = 46,392,392.01
  5. Step 5: Solve for x
    x = 46,392,392.01/7,842.97
  6. Step 6: Final answer
    x = 5,915.16

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1.5x scale

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.