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Finding the Fourth Proportional to 1,682.64, 2,522.32 and 861.30

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Solution

The fourth proportional to 1,682.64, 2,522.32 and 861.30 is: 1,291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.64 : 2,522.32 = 861.30 : x
  2. Step 2: Convert to fraction form
    1,682.64/2,522.32 = 861.30/x
  3. Step 3: Cross multiply
    1,682.64x = 2,522.32 × 861.30
  4. Step 4: Simplify right side
    1,682.64x = 2,172,474.22
  5. Step 5: Solve for x
    x = 2,172,474.22/1,682.64
  6. Step 6: Final answer
    x = 1,291.11

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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.