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Finding the Fourth Proportional to 3,783.42, 5,675.94 and 3,513.42

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Solution

The fourth proportional to 3,783.42, 5,675.94 and 3,513.42 is: 5,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.42 : 5,675.94 = 3,513.42 : x
  2. Step 2: Convert to fraction form
    3,783.42/5,675.94 = 3,513.42/x
  3. Step 3: Cross multiply
    3,783.42x = 5,675.94 × 3,513.42
  4. Step 4: Simplify right side
    3,783.42x = 19,941,961.11
  5. Step 5: Solve for x
    x = 19,941,961.11/3,783.42
  6. Step 6: Final answer
    x = 5,270.88

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1.5x scale

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.