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Finding the Fourth Proportional to 3,903.68, 5,382.24 and 3,154.88

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Solution

The fourth proportional to 3,903.68, 5,382.24 and 3,154.88 is: 4,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.68 : 5,382.24 = 3,154.88 : x
  2. Step 2: Convert to fraction form
    3,903.68/5,382.24 = 3,154.88/x
  3. Step 3: Cross multiply
    3,903.68x = 5,382.24 × 3,154.88
  4. Step 4: Simplify right side
    3,903.68x = 16,980,321.33
  5. Step 5: Solve for x
    x = 16,980,321.33/3,903.68
  6. Step 6: Final answer
    x = 4,349.82

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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.