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Finding the Fourth Proportional to 7,975, 11,005.50 and 4,663

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Solution

The fourth proportional to 7,975, 11,005.50 and 4,663 is: 6,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975 : 11,005.50 = 4,663 : x
  2. Step 2: Convert to fraction form
    7,975/11,005.50 = 4,663/x
  3. Step 3: Cross multiply
    7,975x = 11,005.50 × 4,663
  4. Step 4: Simplify right side
    7,975x = 51,318,646.50
  5. Step 5: Solve for x
    x = 51,318,646.50/7,975
  6. Step 6: Final answer
    x = 6,434.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.