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Finding the Fourth Proportional to 3,670.98, 5,508.35 and 1,822.05

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Solution

The fourth proportional to 3,670.98, 5,508.35 and 1,822.05 is: 2,734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.98 : 5,508.35 = 1,822.05 : x
  2. Step 2: Convert to fraction form
    3,670.98/5,508.35 = 1,822.05/x
  3. Step 3: Cross multiply
    3,670.98x = 5,508.35 × 1,822.05
  4. Step 4: Simplify right side
    3,670.98x = 10,036,489.12
  5. Step 5: Solve for x
    x = 10,036,489.12/3,670.98
  6. Step 6: Final answer
    x = 2,734.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.