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Finding the Fourth Proportional to 13,266, 19,884.24 and 6,698.16

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Solution

The fourth proportional to 13,266, 19,884.24 and 6,698.16 is: 10,039.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266 : 19,884.24 = 6,698.16 : x
  2. Step 2: Convert to fraction form
    13,266/19,884.24 = 6,698.16/x
  3. Step 3: Cross multiply
    13,266x = 19,884.24 × 6,698.16
  4. Step 4: Simplify right side
    13,266x = 133,187,821.00
  5. Step 5: Solve for x
    x = 133,187,821.00/13,266
  6. Step 6: Final answer
    x = 10,039.79

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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.