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Finding the Fourth Proportional to 3,679.92, 5,077.80 and 2,107.92

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Solution

The fourth proportional to 3,679.92, 5,077.80 and 2,107.92 is: 2,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.92 : 5,077.80 = 2,107.92 : x
  2. Step 2: Convert to fraction form
    3,679.92/5,077.80 = 2,107.92/x
  3. Step 3: Cross multiply
    3,679.92x = 5,077.80 × 2,107.92
  4. Step 4: Simplify right side
    3,679.92x = 10,703,596.18
  5. Step 5: Solve for x
    x = 10,703,596.18/3,679.92
  6. Step 6: Final answer
    x = 2,908.65

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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.