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Finding the Fourth Proportional to 5,214.90, 7,821.90 and 1,928.03

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Solution

The fourth proportional to 5,214.90, 7,821.90 and 1,928.03 is: 2,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.90 : 7,821.90 = 1,928.03 : x
  2. Step 2: Convert to fraction form
    5,214.90/7,821.90 = 1,928.03/x
  3. Step 3: Cross multiply
    5,214.90x = 7,821.90 × 1,928.03
  4. Step 4: Simplify right side
    5,214.90x = 15,080,818.75
  5. Step 5: Solve for x
    x = 15,080,818.75/5,214.90
  6. Step 6: Final answer
    x = 2,891.87

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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.