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Finding the Fourth Proportional to 7,816.34, 11,724.48 and 7,359.81

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Solution

The fourth proportional to 7,816.34, 11,724.48 and 7,359.81 is: 11,039.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.34 : 11,724.48 = 7,359.81 : x
  2. Step 2: Convert to fraction form
    7,816.34/11,724.48 = 7,359.81/x
  3. Step 3: Cross multiply
    7,816.34x = 11,724.48 × 7,359.81
  4. Step 4: Simplify right side
    7,816.34x = 86,289,945.15
  5. Step 5: Solve for x
    x = 86,289,945.15/7,816.34
  6. Step 6: Final answer
    x = 11,039.69

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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.