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Finding the Fourth Proportional to 3,956, 5,459.52 and 2,187.62

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Solution

The fourth proportional to 3,956, 5,459.52 and 2,187.62 is: 3,019.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956 : 5,459.52 = 2,187.62 : x
  2. Step 2: Convert to fraction form
    3,956/5,459.52 = 2,187.62/x
  3. Step 3: Cross multiply
    3,956x = 5,459.52 × 2,187.62
  4. Step 4: Simplify right side
    3,956x = 11,943,355.14
  5. Step 5: Solve for x
    x = 11,943,355.14/3,956
  6. Step 6: Final answer
    x = 3,019.05

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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.