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Finding the Fourth Proportional to 3,783.28, 5,669.25 and 2,957.89

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Solution

The fourth proportional to 3,783.28, 5,669.25 and 2,957.89 is: 4,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.28 : 5,669.25 = 2,957.89 : x
  2. Step 2: Convert to fraction form
    3,783.28/5,669.25 = 2,957.89/x
  3. Step 3: Cross multiply
    3,783.28x = 5,669.25 × 2,957.89
  4. Step 4: Simplify right side
    3,783.28x = 16,769,017.88
  5. Step 5: Solve for x
    x = 16,769,017.88/3,783.28
  6. Step 6: Final answer
    x = 4,432.40

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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.