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Finding the Fourth Proportional to 12,906.91, 17,811.75 and 7,242.94

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Solution

The fourth proportional to 12,906.91, 17,811.75 and 7,242.94 is: 9,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.91 : 17,811.75 = 7,242.94 : x
  2. Step 2: Convert to fraction form
    12,906.91/17,811.75 = 7,242.94/x
  3. Step 3: Cross multiply
    12,906.91x = 17,811.75 × 7,242.94
  4. Step 4: Simplify right side
    12,906.91x = 129,009,436.55
  5. Step 5: Solve for x
    x = 129,009,436.55/12,906.91
  6. Step 6: Final answer
    x = 9,995.38

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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.