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Finding the Fourth Proportional to 2,699.15, 3,725.87 and 2,109.87

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Solution

The fourth proportional to 2,699.15, 3,725.87 and 2,109.87 is: 2,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.15 : 3,725.87 = 2,109.87 : x
  2. Step 2: Convert to fraction form
    2,699.15/3,725.87 = 2,109.87/x
  3. Step 3: Cross multiply
    2,699.15x = 3,725.87 × 2,109.87
  4. Step 4: Simplify right side
    2,699.15x = 7,861,090.79
  5. Step 5: Solve for x
    x = 7,861,090.79/2,699.15
  6. Step 6: Final answer
    x = 2,912.44

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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.