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Finding the Fourth Proportional to 3,954.42, 5,931.63 and 1,645.92

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Solution

The fourth proportional to 3,954.42, 5,931.63 and 1,645.92 is: 2,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.42 : 5,931.63 = 1,645.92 : x
  2. Step 2: Convert to fraction form
    3,954.42/5,931.63 = 1,645.92/x
  3. Step 3: Cross multiply
    3,954.42x = 5,931.63 × 1,645.92
  4. Step 4: Simplify right side
    3,954.42x = 9,762,988.45
  5. Step 5: Solve for x
    x = 9,762,988.45/3,954.42
  6. Step 6: Final answer
    x = 2,468.88

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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.