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Finding the Fourth Proportional to 20,840.67, 28,760.85 and 11,409.30

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Solution

The fourth proportional to 20,840.67, 28,760.85 and 11,409.30 is: 15,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840.67 : 28,760.85 = 11,409.30 : x
  2. Step 2: Convert to fraction form
    20,840.67/28,760.85 = 11,409.30/x
  3. Step 3: Cross multiply
    20,840.67x = 28,760.85 × 11,409.30
  4. Step 4: Simplify right side
    20,840.67x = 328,141,165.91
  5. Step 5: Solve for x
    x = 328,141,165.91/20,840.67
  6. Step 6: Final answer
    x = 15,745.23

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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.