Home / 5,209-7,816.77-1,923.64

Finding the Fourth Proportional to 5,209, 7,816.77 and 1,923.64

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Solution

The fourth proportional to 5,209, 7,816.77 and 1,923.64 is: 2,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209 : 7,816.77 = 1,923.64 : x
  2. Step 2: Convert to fraction form
    5,209/7,816.77 = 1,923.64/x
  3. Step 3: Cross multiply
    5,209x = 7,816.77 × 1,923.64
  4. Step 4: Simplify right side
    5,209x = 15,036,651.44
  5. Step 5: Solve for x
    x = 15,036,651.44/5,209
  6. Step 6: Final answer
    x = 2,886.67

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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.