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Finding the Fourth Proportional to 12,906.75, 17,813.48 and 7,320.99

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Solution

The fourth proportional to 12,906.75, 17,813.48 and 7,320.99 is: 10,104.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.75 : 17,813.48 = 7,320.99 : x
  2. Step 2: Convert to fraction form
    12,906.75/17,813.48 = 7,320.99/x
  3. Step 3: Cross multiply
    12,906.75x = 17,813.48 × 7,320.99
  4. Step 4: Simplify right side
    12,906.75x = 130,412,272.34
  5. Step 5: Solve for x
    x = 130,412,272.34/12,906.75
  6. Step 6: Final answer
    x = 10,104.19

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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.