Home / 5,209.68-7,814.79-1,314.12

Finding the Fourth Proportional to 5,209.68, 7,814.79 and 1,314.12

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Solution

The fourth proportional to 5,209.68, 7,814.79 and 1,314.12 is: 1,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.68 : 7,814.79 = 1,314.12 : x
  2. Step 2: Convert to fraction form
    5,209.68/7,814.79 = 1,314.12/x
  3. Step 3: Cross multiply
    5,209.68x = 7,814.79 × 1,314.12
  4. Step 4: Simplify right side
    5,209.68x = 10,269,571.83
  5. Step 5: Solve for x
    x = 10,269,571.83/5,209.68
  6. Step 6: Final answer
    x = 1,971.25

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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.