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Finding the Fourth Proportional to 9,954.52, 13,741.60 and 6,725.08

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Solution

The fourth proportional to 9,954.52, 13,741.60 and 6,725.08 is: 9,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.52 : 13,741.60 = 6,725.08 : x
  2. Step 2: Convert to fraction form
    9,954.52/13,741.60 = 6,725.08/x
  3. Step 3: Cross multiply
    9,954.52x = 13,741.60 × 6,725.08
  4. Step 4: Simplify right side
    9,954.52x = 92,413,359.33
  5. Step 5: Solve for x
    x = 92,413,359.33/9,954.52
  6. Step 6: Final answer
    x = 9,283.56

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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.