Home / 5,209.40-7,814.78-1,924.80

Finding the Fourth Proportional to 5,209.40, 7,814.78 and 1,924.80

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Solution

The fourth proportional to 5,209.40, 7,814.78 and 1,924.80 is: 2,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.40 : 7,814.78 = 1,924.80 : x
  2. Step 2: Convert to fraction form
    5,209.40/7,814.78 = 1,924.80/x
  3. Step 3: Cross multiply
    5,209.40x = 7,814.78 × 1,924.80
  4. Step 4: Simplify right side
    5,209.40x = 15,041,888.54
  5. Step 5: Solve for x
    x = 15,041,888.54/5,209.40
  6. Step 6: Final answer
    x = 2,887.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.