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Finding the Fourth Proportional to 3,956.71, 5,932.62 and 1,614.80

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Solution

The fourth proportional to 3,956.71, 5,932.62 and 1,614.80 is: 2,421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.71 : 5,932.62 = 1,614.80 : x
  2. Step 2: Convert to fraction form
    3,956.71/5,932.62 = 1,614.80/x
  3. Step 3: Cross multiply
    3,956.71x = 5,932.62 × 1,614.80
  4. Step 4: Simplify right side
    3,956.71x = 9,579,994.78
  5. Step 5: Solve for x
    x = 9,579,994.78/3,956.71
  6. Step 6: Final answer
    x = 2,421.20

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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.