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Finding the Fourth Proportional to 12,958.26, 17,881.92 and 7,293.12

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Solution

The fourth proportional to 12,958.26, 17,881.92 and 7,293.12 is: 10,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,958.26 : 17,881.92 = 7,293.12 : x
  2. Step 2: Convert to fraction form
    12,958.26/17,881.92 = 7,293.12/x
  3. Step 3: Cross multiply
    12,958.26x = 17,881.92 × 7,293.12
  4. Step 4: Simplify right side
    12,958.26x = 130,414,988.39
  5. Step 5: Solve for x
    x = 130,414,988.39/12,958.26
  6. Step 6: Final answer
    x = 10,064.24

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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.