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Finding the Fourth Proportional to 12,940.60, 19,381.74 and 7,735.60

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Solution

The fourth proportional to 12,940.60, 19,381.74 and 7,735.60 is: 11,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.60 : 19,381.74 = 7,735.60 : x
  2. Step 2: Convert to fraction form
    12,940.60/19,381.74 = 7,735.60/x
  3. Step 3: Cross multiply
    12,940.60x = 19,381.74 × 7,735.60
  4. Step 4: Simplify right side
    12,940.60x = 149,929,387.94
  5. Step 5: Solve for x
    x = 149,929,387.94/12,940.60
  6. Step 6: Final answer
    x = 11,585.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.