Home / 5,214.65-7,816.50-3,825.90

Finding the Fourth Proportional to 5,214.65, 7,816.50 and 3,825.90

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Solution

The fourth proportional to 5,214.65, 7,816.50 and 3,825.90 is: 5,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.65 : 7,816.50 = 3,825.90 : x
  2. Step 2: Convert to fraction form
    5,214.65/7,816.50 = 3,825.90/x
  3. Step 3: Cross multiply
    5,214.65x = 7,816.50 × 3,825.90
  4. Step 4: Simplify right side
    5,214.65x = 29,905,147.35
  5. Step 5: Solve for x
    x = 29,905,147.35/5,214.65
  6. Step 6: Final answer
    x = 5,734.84

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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.