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Finding the Fourth Proportional to 1,909.90, 2,863.68 and 813.64

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Solution

The fourth proportional to 1,909.90, 2,863.68 and 813.64 is: 1,219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.90 : 2,863.68 = 813.64 : x
  2. Step 2: Convert to fraction form
    1,909.90/2,863.68 = 813.64/x
  3. Step 3: Cross multiply
    1,909.90x = 2,863.68 × 813.64
  4. Step 4: Simplify right side
    1,909.90x = 2,330,004.60
  5. Step 5: Solve for x
    x = 2,330,004.60/1,909.90
  6. Step 6: Final answer
    x = 1,219.96

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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.