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Finding the Fourth Proportional to 3,877.63, 5,842.26 and 3,507.84

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Solution

The fourth proportional to 3,877.63, 5,842.26 and 3,507.84 is: 5,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.63 : 5,842.26 = 3,507.84 : x
  2. Step 2: Convert to fraction form
    3,877.63/5,842.26 = 3,507.84/x
  3. Step 3: Cross multiply
    3,877.63x = 5,842.26 × 3,507.84
  4. Step 4: Simplify right side
    3,877.63x = 20,493,713.32
  5. Step 5: Solve for x
    x = 20,493,713.32/3,877.63
  6. Step 6: Final answer
    x = 5,285.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.