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Finding the Fourth Proportional to 15,107.91, 22,661.87 and 5,745.77

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Solution

The fourth proportional to 15,107.91, 22,661.87 and 5,745.77 is: 8,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.91 : 22,661.87 = 5,745.77 : x
  2. Step 2: Convert to fraction form
    15,107.91/22,661.87 = 5,745.77/x
  3. Step 3: Cross multiply
    15,107.91x = 22,661.87 × 5,745.77
  4. Step 4: Simplify right side
    15,107.91x = 130,209,750.75
  5. Step 5: Solve for x
    x = 130,209,750.75/15,107.91
  6. Step 6: Final answer
    x = 8,618.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.