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Finding the Fourth Proportional to 7,647, 11,470.50 and 2,175

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Solution

The fourth proportional to 7,647, 11,470.50 and 2,175 is: 3,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647 : 11,470.50 = 2,175 : x
  2. Step 2: Convert to fraction form
    7,647/11,470.50 = 2,175/x
  3. Step 3: Cross multiply
    7,647x = 11,470.50 × 2,175
  4. Step 4: Simplify right side
    7,647x = 24,948,337.50
  5. Step 5: Solve for x
    x = 24,948,337.50/7,647
  6. Step 6: Final answer
    x = 3,262.50

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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.