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Finding the Fourth Proportional to 3,713.81, 5,570.57 and 940.45

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Solution

The fourth proportional to 3,713.81, 5,570.57 and 940.45 is: 1,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.81 : 5,570.57 = 940.45 : x
  2. Step 2: Convert to fraction form
    3,713.81/5,570.57 = 940.45/x
  3. Step 3: Cross multiply
    3,713.81x = 5,570.57 × 940.45
  4. Step 4: Simplify right side
    3,713.81x = 5,238,842.56
  5. Step 5: Solve for x
    x = 5,238,842.56/3,713.81
  6. Step 6: Final answer
    x = 1,410.64

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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.