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Finding the Fourth Proportional to 12,426.22, 17,148 and 7,392.88

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Solution

The fourth proportional to 12,426.22, 17,148 and 7,392.88 is: 10,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.22 : 17,148 = 7,392.88 : x
  2. Step 2: Convert to fraction form
    12,426.22/17,148 = 7,392.88/x
  3. Step 3: Cross multiply
    12,426.22x = 17,148 × 7,392.88
  4. Step 4: Simplify right side
    12,426.22x = 126,773,106.24
  5. Step 5: Solve for x
    x = 126,773,106.24/12,426.22
  6. Step 6: Final answer
    x = 10,202.07

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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.