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Finding the Fourth Proportional to 12,606.56, 17,396.39 and 6,941.80

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Solution

The fourth proportional to 12,606.56, 17,396.39 and 6,941.80 is: 9,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.56 : 17,396.39 = 6,941.80 : x
  2. Step 2: Convert to fraction form
    12,606.56/17,396.39 = 6,941.80/x
  3. Step 3: Cross multiply
    12,606.56x = 17,396.39 × 6,941.80
  4. Step 4: Simplify right side
    12,606.56x = 120,762,138.41
  5. Step 5: Solve for x
    x = 120,762,138.41/12,606.56
  6. Step 6: Final answer
    x = 9,579.31

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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.