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Finding the Fourth Proportional to 12,857.92, 17,745.57 and 7,192.98

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Solution

The fourth proportional to 12,857.92, 17,745.57 and 7,192.98 is: 9,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.92 : 17,745.57 = 7,192.98 : x
  2. Step 2: Convert to fraction form
    12,857.92/17,745.57 = 7,192.98/x
  3. Step 3: Cross multiply
    12,857.92x = 17,745.57 × 7,192.98
  4. Step 4: Simplify right side
    12,857.92x = 127,643,530.10
  5. Step 5: Solve for x
    x = 127,643,530.10/12,857.92
  6. Step 6: Final answer
    x = 9,927.23

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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.