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Finding the Fourth Proportional to 12,500, 17,250.36 and 6,911.36

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Solution

The fourth proportional to 12,500, 17,250.36 and 6,911.36 is: 9,537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,500 : 17,250.36 = 6,911.36 : x
  2. Step 2: Convert to fraction form
    12,500/17,250.36 = 6,911.36/x
  3. Step 3: Cross multiply
    12,500x = 17,250.36 × 6,911.36
  4. Step 4: Simplify right side
    12,500x = 119,223,448.09
  5. Step 5: Solve for x
    x = 119,223,448.09/12,500
  6. Step 6: Final answer
    x = 9,537.88

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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.