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Finding the Fourth Proportional to 13,908.57, 19,194.14 and 7,940.12

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Solution

The fourth proportional to 13,908.57, 19,194.14 and 7,940.12 is: 10,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908.57 : 19,194.14 = 7,940.12 : x
  2. Step 2: Convert to fraction form
    13,908.57/19,194.14 = 7,940.12/x
  3. Step 3: Cross multiply
    13,908.57x = 19,194.14 × 7,940.12
  4. Step 4: Simplify right side
    13,908.57x = 152,403,774.90
  5. Step 5: Solve for x
    x = 152,403,774.90/13,908.57
  6. Step 6: Final answer
    x = 10,957.54

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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.