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Finding the Fourth Proportional to 15,745.11, 23,624.48 and 7,855.50

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Solution

The fourth proportional to 15,745.11, 23,624.48 and 7,855.50 is: 11,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.11 : 23,624.48 = 7,855.50 : x
  2. Step 2: Convert to fraction form
    15,745.11/23,624.48 = 7,855.50/x
  3. Step 3: Cross multiply
    15,745.11x = 23,624.48 × 7,855.50
  4. Step 4: Simplify right side
    15,745.11x = 185,582,102.64
  5. Step 5: Solve for x
    x = 185,582,102.64/15,745.11
  6. Step 6: Final answer
    x = 11,786.65

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1.5x scale

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.