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Finding the Fourth Proportional to 12,406.41, 17,120.39 and 7,101.09

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Solution

The fourth proportional to 12,406.41, 17,120.39 and 7,101.09 is: 9,799.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.41 : 17,120.39 = 7,101.09 : x
  2. Step 2: Convert to fraction form
    12,406.41/17,120.39 = 7,101.09/x
  3. Step 3: Cross multiply
    12,406.41x = 17,120.39 × 7,101.09
  4. Step 4: Simplify right side
    12,406.41x = 121,573,394.72
  5. Step 5: Solve for x
    x = 121,573,394.72/12,406.41
  6. Step 6: Final answer
    x = 9,799.24

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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.