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Finding the Fourth Proportional to 13,758.47, 20,621.73 and 5,858.49

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Solution

The fourth proportional to 13,758.47, 20,621.73 and 5,858.49 is: 8,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.47 : 20,621.73 = 5,858.49 : x
  2. Step 2: Convert to fraction form
    13,758.47/20,621.73 = 5,858.49/x
  3. Step 3: Cross multiply
    13,758.47x = 20,621.73 × 5,858.49
  4. Step 4: Simplify right side
    13,758.47x = 120,812,198.99
  5. Step 5: Solve for x
    x = 120,812,198.99/13,758.47
  6. Step 6: Final answer
    x = 8,780.94

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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.