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Finding the Fourth Proportional to 13,101, 19,651.50 and 3,866.76

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Solution

The fourth proportional to 13,101, 19,651.50 and 3,866.76 is: 5,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101 : 19,651.50 = 3,866.76 : x
  2. Step 2: Convert to fraction form
    13,101/19,651.50 = 3,866.76/x
  3. Step 3: Cross multiply
    13,101x = 19,651.50 × 3,866.76
  4. Step 4: Simplify right side
    13,101x = 75,987,634.14
  5. Step 5: Solve for x
    x = 75,987,634.14/13,101
  6. Step 6: Final answer
    x = 5,800.14

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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.