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Finding the Fourth Proportional to 13,768, 19,004.76 and 8,179

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Solution

The fourth proportional to 13,768, 19,004.76 and 8,179 is: 11,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768 : 19,004.76 = 8,179 : x
  2. Step 2: Convert to fraction form
    13,768/19,004.76 = 8,179/x
  3. Step 3: Cross multiply
    13,768x = 19,004.76 × 8,179
  4. Step 4: Simplify right side
    13,768x = 155,439,932.04
  5. Step 5: Solve for x
    x = 155,439,932.04/13,768
  6. Step 6: Final answer
    x = 11,289.94

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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.