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Finding the Fourth Proportional to 12,784, 17,642.64 and 7,195.36

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Solution

The fourth proportional to 12,784, 17,642.64 and 7,195.36 is: 9,930.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784 : 17,642.64 = 7,195.36 : x
  2. Step 2: Convert to fraction form
    12,784/17,642.64 = 7,195.36/x
  3. Step 3: Cross multiply
    12,784x = 17,642.64 × 7,195.36
  4. Step 4: Simplify right side
    12,784x = 126,945,146.15
  5. Step 5: Solve for x
    x = 126,945,146.15/12,784
  6. Step 6: Final answer
    x = 9,930.00

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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.