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Finding the Fourth Proportional to 14,916, 20,584.52 and 8,201.28

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Solution

The fourth proportional to 14,916, 20,584.52 and 8,201.28 is: 11,318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916 : 20,584.52 = 8,201.28 : x
  2. Step 2: Convert to fraction form
    14,916/20,584.52 = 8,201.28/x
  3. Step 3: Cross multiply
    14,916x = 20,584.52 × 8,201.28
  4. Step 4: Simplify right side
    14,916x = 168,819,412.19
  5. Step 5: Solve for x
    x = 168,819,412.19/14,916
  6. Step 6: Final answer
    x = 11,318.01

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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.