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Finding the Fourth Proportional to 3,783.84, 5,659.56 and 3,155.28

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Solution

The fourth proportional to 3,783.84, 5,659.56 and 3,155.28 is: 4,719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.84 : 5,659.56 = 3,155.28 : x
  2. Step 2: Convert to fraction form
    3,783.84/5,659.56 = 3,155.28/x
  3. Step 3: Cross multiply
    3,783.84x = 5,659.56 × 3,155.28
  4. Step 4: Simplify right side
    3,783.84x = 17,857,496.48
  5. Step 5: Solve for x
    x = 17,857,496.48/3,783.84
  6. Step 6: Final answer
    x = 4,719.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.