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Finding the Fourth Proportional to 12,705.78, 17,542.73 and 9,716.41

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Solution

The fourth proportional to 12,705.78, 17,542.73 and 9,716.41 is: 13,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.78 : 17,542.73 = 9,716.41 : x
  2. Step 2: Convert to fraction form
    12,705.78/17,542.73 = 9,716.41/x
  3. Step 3: Cross multiply
    12,705.78x = 17,542.73 × 9,716.41
  4. Step 4: Simplify right side
    12,705.78x = 170,452,220.90
  5. Step 5: Solve for x
    x = 170,452,220.90/12,705.78
  6. Step 6: Final answer
    x = 13,415.33

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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.