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Finding the Fourth Proportional to 8,005, 12,007.50 and 4,933.48

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Solution

The fourth proportional to 8,005, 12,007.50 and 4,933.48 is: 7,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005 : 12,007.50 = 4,933.48 : x
  2. Step 2: Convert to fraction form
    8,005/12,007.50 = 4,933.48/x
  3. Step 3: Cross multiply
    8,005x = 12,007.50 × 4,933.48
  4. Step 4: Simplify right side
    8,005x = 59,238,761.10
  5. Step 5: Solve for x
    x = 59,238,761.10/8,005
  6. Step 6: Final answer
    x = 7,400.22

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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.