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Finding the Fourth Proportional to 13,171.77, 19,760.77 and 3,812.00

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Solution

The fourth proportional to 13,171.77, 19,760.77 and 3,812.00 is: 5,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.77 : 19,760.77 = 3,812.00 : x
  2. Step 2: Convert to fraction form
    13,171.77/19,760.77 = 3,812.00/x
  3. Step 3: Cross multiply
    13,171.77x = 19,760.77 × 3,812.00
  4. Step 4: Simplify right side
    13,171.77x = 75,328,095.11
  5. Step 5: Solve for x
    x = 75,328,095.11/13,171.77
  6. Step 6: Final answer
    x = 5,718.90

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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.