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Finding the Fourth Proportional to 3,922.81, 5,885.74 and 1,729.99

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Solution

The fourth proportional to 3,922.81, 5,885.74 and 1,729.99 is: 2,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.81 : 5,885.74 = 1,729.99 : x
  2. Step 2: Convert to fraction form
    3,922.81/5,885.74 = 1,729.99/x
  3. Step 3: Cross multiply
    3,922.81x = 5,885.74 × 1,729.99
  4. Step 4: Simplify right side
    3,922.81x = 10,182,271.34
  5. Step 5: Solve for x
    x = 10,182,271.34/3,922.81
  6. Step 6: Final answer
    x = 2,595.66

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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.