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Finding the Fourth Proportional to 14,443.14, 19,932.84 and 8,155.38

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Solution

The fourth proportional to 14,443.14, 19,932.84 and 8,155.38 is: 11,255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.14 : 19,932.84 = 8,155.38 : x
  2. Step 2: Convert to fraction form
    14,443.14/19,932.84 = 8,155.38/x
  3. Step 3: Cross multiply
    14,443.14x = 19,932.84 × 8,155.38
  4. Step 4: Simplify right side
    14,443.14x = 162,559,884.68
  5. Step 5: Solve for x
    x = 162,559,884.68/14,443.14
  6. Step 6: Final answer
    x = 11,255.16

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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.