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Finding the Fourth Proportional to 12,846.97, 17,728.49 and 7,811.33

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Solution

The fourth proportional to 12,846.97, 17,728.49 and 7,811.33 is: 10,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.97 : 17,728.49 = 7,811.33 : x
  2. Step 2: Convert to fraction form
    12,846.97/17,728.49 = 7,811.33/x
  3. Step 3: Cross multiply
    12,846.97x = 17,728.49 × 7,811.33
  4. Step 4: Simplify right side
    12,846.97x = 138,483,046.74
  5. Step 5: Solve for x
    x = 138,483,046.74/12,846.97
  6. Step 6: Final answer
    x = 10,779.44

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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.