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Finding the Fourth Proportional to 20,078.37, 27,721.14 and 12,911.50

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Solution

The fourth proportional to 20,078.37, 27,721.14 and 12,911.50 is: 17,826.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.37 : 27,721.14 = 12,911.50 : x
  2. Step 2: Convert to fraction form
    20,078.37/27,721.14 = 12,911.50/x
  3. Step 3: Cross multiply
    20,078.37x = 27,721.14 × 12,911.50
  4. Step 4: Simplify right side
    20,078.37x = 357,921,499.11
  5. Step 5: Solve for x
    x = 357,921,499.11/20,078.37
  6. Step 6: Final answer
    x = 17,826.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.