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Finding the Fourth Proportional to 11,758.66, 17,639 and 3,858.80

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Solution

The fourth proportional to 11,758.66, 17,639 and 3,858.80 is: 5,788.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.66 : 17,639 = 3,858.80 : x
  2. Step 2: Convert to fraction form
    11,758.66/17,639 = 3,858.80/x
  3. Step 3: Cross multiply
    11,758.66x = 17,639 × 3,858.80
  4. Step 4: Simplify right side
    11,758.66x = 68,065,373.20
  5. Step 5: Solve for x
    x = 68,065,373.20/11,758.66
  6. Step 6: Final answer
    x = 5,788.53

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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.