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Finding the Fourth Proportional to 3,838.32, 5,299.02 and 3,080.16

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Solution

The fourth proportional to 3,838.32, 5,299.02 and 3,080.16 is: 4,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.32 : 5,299.02 = 3,080.16 : x
  2. Step 2: Convert to fraction form
    3,838.32/5,299.02 = 3,080.16/x
  3. Step 3: Cross multiply
    3,838.32x = 5,299.02 × 3,080.16
  4. Step 4: Simplify right side
    3,838.32x = 16,321,829.44
  5. Step 5: Solve for x
    x = 16,321,829.44/3,838.32
  6. Step 6: Final answer
    x = 4,252.34

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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.