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Finding the Fourth Proportional to 7,578, 11,359.44 and 3,197.88

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Solution

The fourth proportional to 7,578, 11,359.44 and 3,197.88 is: 4,793.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578 : 11,359.44 = 3,197.88 : x
  2. Step 2: Convert to fraction form
    7,578/11,359.44 = 3,197.88/x
  3. Step 3: Cross multiply
    7,578x = 11,359.44 × 3,197.88
  4. Step 4: Simplify right side
    7,578x = 36,326,125.99
  5. Step 5: Solve for x
    x = 36,326,125.99/7,578
  6. Step 6: Final answer
    x = 4,793.63

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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.