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Finding the Fourth Proportional to 8,263, 11,399.70 and 4,724.32

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Solution

The fourth proportional to 8,263, 11,399.70 and 4,724.32 is: 6,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263 : 11,399.70 = 4,724.32 : x
  2. Step 2: Convert to fraction form
    8,263/11,399.70 = 4,724.32/x
  3. Step 3: Cross multiply
    8,263x = 11,399.70 × 4,724.32
  4. Step 4: Simplify right side
    8,263x = 53,855,830.70
  5. Step 5: Solve for x
    x = 53,855,830.70/8,263
  6. Step 6: Final answer
    x = 6,517.71

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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.