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Finding the Fourth Proportional to 6,750, 10,130.67 and 3,632.31

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Solution

The fourth proportional to 6,750, 10,130.67 and 3,632.31 is: 5,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750 : 10,130.67 = 3,632.31 : x
  2. Step 2: Convert to fraction form
    6,750/10,130.67 = 3,632.31/x
  3. Step 3: Cross multiply
    6,750x = 10,130.67 × 3,632.31
  4. Step 4: Simplify right side
    6,750x = 36,797,733.95
  5. Step 5: Solve for x
    x = 36,797,733.95/6,750
  6. Step 6: Final answer
    x = 5,451.52

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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.