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Finding the Fourth Proportional to 3,813.92, 5,265.76 and 2,928.16

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Solution

The fourth proportional to 3,813.92, 5,265.76 and 2,928.16 is: 4,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.92 : 5,265.76 = 2,928.16 : x
  2. Step 2: Convert to fraction form
    3,813.92/5,265.76 = 2,928.16/x
  3. Step 3: Cross multiply
    3,813.92x = 5,265.76 × 2,928.16
  4. Step 4: Simplify right side
    3,813.92x = 15,418,987.80
  5. Step 5: Solve for x
    x = 15,418,987.80/3,813.92
  6. Step 6: Final answer
    x = 4,042.82

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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.