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Finding the Fourth Proportional to 7,077.92, 9,767.68 and 4,093.84

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Solution

The fourth proportional to 7,077.92, 9,767.68 and 4,093.84 is: 5,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.92 : 9,767.68 = 4,093.84 : x
  2. Step 2: Convert to fraction form
    7,077.92/9,767.68 = 4,093.84/x
  3. Step 3: Cross multiply
    7,077.92x = 9,767.68 × 4,093.84
  4. Step 4: Simplify right side
    7,077.92x = 39,987,319.09
  5. Step 5: Solve for x
    x = 39,987,319.09/7,077.92
  6. Step 6: Final answer
    x = 5,649.59

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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.