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Finding the Fourth Proportional to 14,767.50, 22,157.78 and 7,745.84

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Solution

The fourth proportional to 14,767.50, 22,157.78 and 7,745.84 is: 11,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,767.50 : 22,157.78 = 7,745.84 : x
  2. Step 2: Convert to fraction form
    14,767.50/22,157.78 = 7,745.84/x
  3. Step 3: Cross multiply
    14,767.50x = 22,157.78 × 7,745.84
  4. Step 4: Simplify right side
    14,767.50x = 171,630,469.12
  5. Step 5: Solve for x
    x = 171,630,469.12/14,767.50
  6. Step 6: Final answer
    x = 11,622.17

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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.