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Finding the Fourth Proportional to 12,771.97, 19,133.05 and 7,208.49

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Solution

The fourth proportional to 12,771.97, 19,133.05 and 7,208.49 is: 10,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.97 : 19,133.05 = 7,208.49 : x
  2. Step 2: Convert to fraction form
    12,771.97/19,133.05 = 7,208.49/x
  3. Step 3: Cross multiply
    12,771.97x = 19,133.05 × 7,208.49
  4. Step 4: Simplify right side
    12,771.97x = 137,920,399.59
  5. Step 5: Solve for x
    x = 137,920,399.59/12,771.97
  6. Step 6: Final answer
    x = 10,798.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.