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Finding the Fourth Proportional to 3,769.77, 5,654.79 and 1,575.48

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Solution

The fourth proportional to 3,769.77, 5,654.79 and 1,575.48 is: 2,363.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.77 : 5,654.79 = 1,575.48 : x
  2. Step 2: Convert to fraction form
    3,769.77/5,654.79 = 1,575.48/x
  3. Step 3: Cross multiply
    3,769.77x = 5,654.79 × 1,575.48
  4. Step 4: Simplify right side
    3,769.77x = 8,909,008.55
  5. Step 5: Solve for x
    x = 8,909,008.55/3,769.77
  6. Step 6: Final answer
    x = 2,363.28

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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.