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Finding the Fourth Proportional to 12,608.81, 17,400 and 6,943.44

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Solution

The fourth proportional to 12,608.81, 17,400 and 6,943.44 is: 9,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608.81 : 17,400 = 6,943.44 : x
  2. Step 2: Convert to fraction form
    12,608.81/17,400 = 6,943.44/x
  3. Step 3: Cross multiply
    12,608.81x = 17,400 × 6,943.44
  4. Step 4: Simplify right side
    12,608.81x = 120,815,856
  5. Step 5: Solve for x
    x = 120,815,856/12,608.81
  6. Step 6: Final answer
    x = 9,581.86

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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.