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Finding the Fourth Proportional to 3,725.96, 5,141.54 and 2,153

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Solution

The fourth proportional to 3,725.96, 5,141.54 and 2,153 is: 2,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.96 : 5,141.54 = 2,153 : x
  2. Step 2: Convert to fraction form
    3,725.96/5,141.54 = 2,153/x
  3. Step 3: Cross multiply
    3,725.96x = 5,141.54 × 2,153
  4. Step 4: Simplify right side
    3,725.96x = 11,069,735.62
  5. Step 5: Solve for x
    x = 11,069,735.62/3,725.96
  6. Step 6: Final answer
    x = 2,970.98

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Double scale
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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.