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Finding the Fourth Proportional to 21,164.94, 31,762.02 and 7,313.94

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Solution

The fourth proportional to 21,164.94, 31,762.02 and 7,313.94 is: 10,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,164.94 : 31,762.02 = 7,313.94 : x
  2. Step 2: Convert to fraction form
    21,164.94/31,762.02 = 7,313.94/x
  3. Step 3: Cross multiply
    21,164.94x = 31,762.02 × 7,313.94
  4. Step 4: Simplify right side
    21,164.94x = 232,305,508.56
  5. Step 5: Solve for x
    x = 232,305,508.56/21,164.94
  6. Step 6: Final answer
    x = 10,975.96

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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.