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Finding the Fourth Proportional to 5,195.96, 7,794.96 and 1,909.08

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Solution

The fourth proportional to 5,195.96, 7,794.96 and 1,909.08 is: 2,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.96 : 7,794.96 = 1,909.08 : x
  2. Step 2: Convert to fraction form
    5,195.96/7,794.96 = 1,909.08/x
  3. Step 3: Cross multiply
    5,195.96x = 7,794.96 × 1,909.08
  4. Step 4: Simplify right side
    5,195.96x = 14,881,202.24
  5. Step 5: Solve for x
    x = 14,881,202.24/5,195.96
  6. Step 6: Final answer
    x = 2,863.99

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1.5x scale

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.