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Finding the Fourth Proportional to 3,783.49, 5,652.81 and 3,654.29

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Solution

The fourth proportional to 3,783.49, 5,652.81 and 3,654.29 is: 5,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.49 : 5,652.81 = 3,654.29 : x
  2. Step 2: Convert to fraction form
    3,783.49/5,652.81 = 3,654.29/x
  3. Step 3: Cross multiply
    3,783.49x = 5,652.81 × 3,654.29
  4. Step 4: Simplify right side
    3,783.49x = 20,657,021.19
  5. Step 5: Solve for x
    x = 20,657,021.19/3,783.49
  6. Step 6: Final answer
    x = 5,459.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.