Home / 5,214.87-7,823.99-1,928.43

Finding the Fourth Proportional to 5,214.87, 7,823.99 and 1,928.43

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Solution

The fourth proportional to 5,214.87, 7,823.99 and 1,928.43 is: 2,893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.87 : 7,823.99 = 1,928.43 : x
  2. Step 2: Convert to fraction form
    5,214.87/7,823.99 = 1,928.43/x
  3. Step 3: Cross multiply
    5,214.87x = 7,823.99 × 1,928.43
  4. Step 4: Simplify right side
    5,214.87x = 15,088,017.04
  5. Step 5: Solve for x
    x = 15,088,017.04/5,214.87
  6. Step 6: Final answer
    x = 2,893.27

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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.