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Finding the Fourth Proportional to 12,694.08, 17,505 and 9,785.37

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Solution

The fourth proportional to 12,694.08, 17,505 and 9,785.37 is: 13,493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.08 : 17,505 = 9,785.37 : x
  2. Step 2: Convert to fraction form
    12,694.08/17,505 = 9,785.37/x
  3. Step 3: Cross multiply
    12,694.08x = 17,505 × 9,785.37
  4. Step 4: Simplify right side
    12,694.08x = 171,292,901.85
  5. Step 5: Solve for x
    x = 171,292,901.85/12,694.08
  6. Step 6: Final answer
    x = 13,493.92

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1.5x scale

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.