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Finding the Fourth Proportional to 6,427.30, 9,631.95 and 5,113.30

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Solution

The fourth proportional to 6,427.30, 9,631.95 and 5,113.30 is: 7,662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.30 : 9,631.95 = 5,113.30 : x
  2. Step 2: Convert to fraction form
    6,427.30/9,631.95 = 5,113.30/x
  3. Step 3: Cross multiply
    6,427.30x = 9,631.95 × 5,113.30
  4. Step 4: Simplify right side
    6,427.30x = 49,251,049.94
  5. Step 5: Solve for x
    x = 49,251,049.94/6,427.30
  6. Step 6: Final answer
    x = 7,662.79

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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.