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Finding the Fourth Proportional to 5,195.75, 7,792.02 and 1,909.10

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Solution

The fourth proportional to 5,195.75, 7,792.02 and 1,909.10 is: 2,863.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.75 : 7,792.02 = 1,909.10 : x
  2. Step 2: Convert to fraction form
    5,195.75/7,792.02 = 1,909.10/x
  3. Step 3: Cross multiply
    5,195.75x = 7,792.02 × 1,909.10
  4. Step 4: Simplify right side
    5,195.75x = 14,875,745.38
  5. Step 5: Solve for x
    x = 14,875,745.38/5,195.75
  6. Step 6: Final answer
    x = 2,863.06

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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.